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GCF of 968/77, 406/4528

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 968/77, 406/4528 i.e 2/348656 easily. The following is the detailed procedure to determine the greatest common factor of fractions 968/77, 406/4528.

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 968/77,406/4528?

Given fractions are 968/77,406/4528

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 968/77,406/4528, numerators are 968,406

Denominators are 77,4528

The GCF of 968,406 is 2 .

LCM of 77,4528 is 348656.

The greatest common factor of 968/77,406/4528 = [GCF of 968,406]/[LCM of 77,4528]= 2/348656

Therefore, the GCF of 968/77,406/4528 is 2/348656.

Greatest Common Factor of 968,406

To find the highest common factor of 968,406, we have to find the factors of both numbers and list the highest common factor.

The factors of 968 are 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

The factors of 406 are 1, 2, 7, 14, 29, 58, 203, 406

The HCF of 968,406 is 2.

Lets's calculate GCF of 968,406

Greatest Common Factor (GCF) of 968,406 By Common Division

2 968, 406
484, 203

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

Greatest Common Factor of 968,406 By Matching Biggest Common Factor Method

Greatest Common Factor of 968,406 By Matching Biggest Common Factor Method

Now, list down the factors of 968

:

1,2,4,8,11,22,44,88,121,242,484,968

Now, list down the factors of 406

:

1,2,7,14,29,58,203,406

Greatest Common Factor

We found the factors 968,406 . The biggest common factor number is the GCF number.
So the greatest common factor 968,406 is 2.

Lets's calculate LCM of 77,4528

Lowest Common Multiple of 77,4528 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 348656

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/348656

Therefore, the GCF of Fractions 968/77,406/4528 is 2/348656

Least Common Multiple of 77,4528 with GCF Formula

Least Common Multiple of 77,4528 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 77,4528 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,4528) = 1

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

GCF(77,4528) x common factors =1 x 1 = 1

LCM(77,4528) = ( 77 × 4528 ) / 1

LCM(77,4528) = 348656 / 1

LCM(77,4528) = 348656


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FAQs on GCF of Fractions of 968/77, 406/4528

1. What is the HCF of 968,406?

The HCF of 968,406 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 968/77, 406/4528?

Answer: GCF of Numerators as per given numbers 968/77, 406/4528 is

GCF of Numerators i.e. for 968,406 is 2

LCM of denominators i.e. for 77,4528 is 348656.

Thus, GCF of Fractions is 2/348656.Finally, GCF of Fractions for 968/77, 406/4528 is 2/348656.