How to Find GCF of 376/493, 3424/4714?

GCF of 376/493, 3424/4714

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 376/493, 3424/4714 i.e 8/2324002 easily. The following is the detailed procedure to determine the greatest common factor of fractions 376/493, 3424/4714.

Enter two or more fractions separated by "commas"

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

What is the GCF of 376/493,3424/4714?

Given fractions are 376/493,3424/4714

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 376/493,3424/4714, numerators are 376,3424

Denominators are 493,4714

The GCF of 376,3424 is 8 .

LCM of 493,4714 is 2324002.

The greatest common factor of 376/493,3424/4714 = [GCF of 376,3424]/[LCM of 493,4714]= 8/2324002

Therefore, the GCF of 376/493,3424/4714 is 8/2324002.

Greatest Common Factor of 376,3424

To find the highest common factor of 376,3424, we have to find the factors of both numbers and list the highest common factor.

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

The factors of 3424 are 1, 2, 4, 8, 16, 32, 107, 214, 428, 856, 1712, 3424

The HCF of 376,3424 is 8.

Lets's calculate GCF of 376,3424

Greatest Common Factor (GCF) of 376,3424 By Common Division

2	376, 3424
2	188, 1712
2	94, 856
	47, 428

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 376,3424 By Matching Biggest Common Factor Method

Now, list down the factors of 376

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

Now, list down the factors of 3424

1,2,4,8,16,32,107,214,428,856,1712,3424

Greatest Common Factor

We found the factors 376,3424 . The biggest common factor number is the GCF number.
So the greatest common factor 376,3424 is 8.

Lets's calculate LCM of 493,4714

Lowest Common Multiple of 493,4714 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2324002

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/2324002

Therefore, the GCF of Fractions 376/493,3424/4714 is 8/2324002

Least Common Multiple of 493,4714 with GCF Formula

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

We need to calculate greatest common factor of 493,4714 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(493,4714) = 1

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

GCF(493,4714) x common factors =1 x 1 = 1

LCM(493,4714) = ( 493 × 4714 ) / 1

LCM(493,4714) = 2324002 / 1

LCM(493,4714) = 2324002

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FAQs on GCF of Fractions of 376/493, 3424/4714

1. What is the HCF of 376,3424?

The HCF of 376,3424 is 8

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 376/493, 3424/4714?

Answer: GCF of Numerators as per given numbers 376/493, 3424/4714 is

GCF of Numerators i.e. for 376,3424 is 8

LCM of denominators i.e. for 493,4714 is 2324002.

Thus, GCF of Fractions is 8/2324002.Finally, GCF of Fractions for 376/493, 3424/4714 is 8/2324002.