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GCF of 974/722, 401/658

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 974/722, 401/658 i.e 1/237538 easily. The following is the detailed procedure to determine the greatest common factor of fractions 974/722, 401/658.

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 974/722,401/658?

Given fractions are 974/722,401/658

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 974/722,401/658, numerators are 974,401

Denominators are 722,658

The GCF of 974,401 is 1 .

LCM of 722,658 is 237538.

The greatest common factor of 974/722,401/658 = [GCF of 974,401]/[LCM of 722,658]= 1/237538

Therefore, the GCF of 974/722,401/658 is 1/237538.

Greatest Common Factor of 974,401

To find the highest common factor of 974,401, we have to find the factors of both numbers and list the highest common factor.

The factors of 974 are 1, 2, 487, 974

The factors of 401 are 1, 401

The HCF of 974,401 is 1.

Lets's calculate GCF of 974,401

Greatest Common Factor (GCF) of 974,401 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 974,401 By Matching Biggest Common Factor Method

Greatest Common Factor of 974,401 By Matching Biggest Common Factor Method

Now, list down the factors of 974

:

1,2,487,974

Now, list down the factors of 401

:

1,401

Greatest Common Factor

We found the factors 974,401 . The biggest common factor number is the GCF number.
So the greatest common factor 974,401 is 1.

Lets's calculate LCM of 722,658

Lowest Common Multiple of 722,658 using Common Division

2 722, 658
361, 329

∴ So the LCM of the given numbers is 2 x 361 x 329 = 237538

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/237538

Therefore, the GCF of Fractions 974/722,401/658 is 1/237538

Least Common Multiple of 722,658 with GCF Formula

Least Common Multiple of 722,658 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 722,658 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(722,658) = 2

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

GCF(722,658) x common factors =2 x 1 = 2

LCM(722,658) = ( 722 × 658 ) / 2

LCM(722,658) = 475076 / 2

LCM(722,658) = 237538


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FAQs on GCF of Fractions of 974/722, 401/658

1. What is the HCF of 974,401?

The HCF of 974,401 is 1

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 974/722, 401/658?

Answer: GCF of Numerators as per given numbers 974/722, 401/658 is

GCF of Numerators i.e. for 974,401 is 1

LCM of denominators i.e. for 722,658 is 237538.

Thus, GCF of Fractions is 1/237538.Finally, GCF of Fractions for 974/722, 401/658 is 1/237538.