LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 508/154, 376/846

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 508/154, 376/846 i.e 4/65142 easily. The following is the detailed procedure to determine the greatest common factor of fractions 508/154, 376/846.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 508/154,376/846?

Given fractions are 508/154,376/846

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 508/154,376/846, numerators are 508,376

Denominators are 154,846

The GCF of 508,376 is 4 .

LCM of 154,846 is 65142.

The greatest common factor of 508/154,376/846 = [GCF of 508,376]/[LCM of 154,846]= 4/65142

Therefore, the GCF of 508/154,376/846 is 4/65142.

Greatest Common Factor of 508,376

To find the highest common factor of 508,376, we have to find the factors of both numbers and list the highest common factor.

The factors of 508 are 1, 2, 4, 127, 254, 508

The factors of 376 are 1, 2, 4, 8, 47, 94, 188, 376

The HCF of 508,376 is 4.

Lets's calculate GCF of 508,376

Greatest Common Factor (GCF) of 508,376 By Common Division

2 508, 376
2 254, 188
127, 94

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 508,376 By Matching Biggest Common Factor Method

Greatest Common Factor of 508,376 By Matching Biggest Common Factor Method

Now, list down the factors of 508

:

1,2,4,127,254,508

Now, list down the factors of 376

:

1,2,4,8,47,94,188,376

Greatest Common Factor

We found the factors 508,376 . The biggest common factor number is the GCF number.
So the greatest common factor 508,376 is 4.

Lets's calculate LCM of 154,846

Lowest Common Multiple of 154,846 using Common Division

2 154, 846
77, 423

∴ So the LCM of the given numbers is 2 x 77 x 423 = 65142

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/65142

Therefore, the GCF of Fractions 508/154,376/846 is 4/65142

Least Common Multiple of 154,846 with GCF Formula

Least Common Multiple of 154,846 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 154,846 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(154,846) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(154,846) x common factors =2 x 1 = 2

LCM(154,846) = ( 154 × 846 ) / 2

LCM(154,846) = 130284 / 2

LCM(154,846) = 65142


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 508/154, 376/846

1. What is the HCF of 508,376?

The HCF of 508,376 is 4

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 508/154, 376/846?

Answer: GCF of Numerators as per given numbers 508/154, 376/846 is

GCF of Numerators i.e. for 508,376 is 4

LCM of denominators i.e. for 154,846 is 65142.

Thus, GCF of Fractions is 4/65142.Finally, GCF of Fractions for 508/154, 376/846 is 4/65142.