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 148/61, 982/418

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 148/61, 982/418 i.e 2/25498 easily. The following is the detailed procedure to determine the greatest common factor of fractions 148/61, 982/418.

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 148/61,982/418?

Given fractions are 148/61,982/418

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 148/61,982/418, numerators are 148,982

Denominators are 61,418

The GCF of 148,982 is 2 .

LCM of 61,418 is 25498.

The greatest common factor of 148/61,982/418 = [GCF of 148,982]/[LCM of 61,418]= 2/25498

Therefore, the GCF of 148/61,982/418 is 2/25498.

Greatest Common Factor of 148,982

To find the highest common factor of 148,982, we have to find the factors of both numbers and list the highest common factor.

The factors of 148 are 1, 2, 4, 37, 74, 148

The factors of 982 are 1, 2, 491, 982

The HCF of 148,982 is 2.

Lets's calculate GCF of 148,982

Greatest Common Factor (GCF) of 148,982 By Common Division

2 148, 982
74, 491

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

Greatest Common Factor of 148,982 By Matching Biggest Common Factor Method

Greatest Common Factor of 148,982 By Matching Biggest Common Factor Method

Now, list down the factors of 148

:

1,2,4,37,74,148

Now, list down the factors of 982

:

1,2,491,982

Greatest Common Factor

We found the factors 148,982 . The biggest common factor number is the GCF number.
So the greatest common factor 148,982 is 2.

Lets's calculate LCM of 61,418

Lowest Common Multiple of 61,418 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 25498

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/25498

Therefore, the GCF of Fractions 148/61,982/418 is 2/25498

Least Common Multiple of 61,418 with GCF Formula

Least Common Multiple of 61,418 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 61,418 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,418) = 1

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

GCF(61,418) x common factors =1 x 1 = 1

LCM(61,418) = ( 61 × 418 ) / 1

LCM(61,418) = 25498 / 1

LCM(61,418) = 25498


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 148/61, 982/418

1. What is the HCF of 148,982?

The HCF of 148,982 is 2

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 148/61, 982/418?

Answer: GCF of Numerators as per given numbers 148/61, 982/418 is

GCF of Numerators i.e. for 148,982 is 2

LCM of denominators i.e. for 61,418 is 25498.

Thus, GCF of Fractions is 2/25498.Finally, GCF of Fractions for 148/61, 982/418 is 2/25498.