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GCF of 716/54, 308/9758

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 716/54, 308/9758 i.e 4/263466 easily. The following is the detailed procedure to determine the greatest common factor of fractions 716/54, 308/9758.

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 716/54,308/9758?

Given fractions are 716/54,308/9758

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 716/54,308/9758, numerators are 716,308

Denominators are 54,9758

The GCF of 716,308 is 4 .

LCM of 54,9758 is 263466.

The greatest common factor of 716/54,308/9758 = [GCF of 716,308]/[LCM of 54,9758]= 4/263466

Therefore, the GCF of 716/54,308/9758 is 4/263466.

Greatest Common Factor of 716,308

To find the highest common factor of 716,308, we have to find the factors of both numbers and list the highest common factor.

The factors of 716 are 1, 2, 4, 179, 358, 716

The factors of 308 are 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

The HCF of 716,308 is 4.

Lets's calculate GCF of 716,308

Greatest Common Factor (GCF) of 716,308 By Common Division

2 716, 308
2 358, 154
179, 77

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

Greatest Common Factor of 716,308 By Matching Biggest Common Factor Method

Greatest Common Factor of 716,308 By Matching Biggest Common Factor Method

Now, list down the factors of 716

:

1,2,4,179,358,716

Now, list down the factors of 308

:

1,2,4,7,11,14,22,28,44,77,154,308

Greatest Common Factor

We found the factors 716,308 . The biggest common factor number is the GCF number.
So the greatest common factor 716,308 is 4.

Lets's calculate LCM of 54,9758

Lowest Common Multiple of 54,9758 using Common Division

2 54, 9758
27, 4879

∴ So the LCM of the given numbers is 2 x 27 x 4879 = 263466

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/263466

Therefore, the GCF of Fractions 716/54,308/9758 is 4/263466

Least Common Multiple of 54,9758 with GCF Formula

Least Common Multiple of 54,9758 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 54,9758 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,9758) = 2

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

GCF(54,9758) x common factors =2 x 1 = 2

LCM(54,9758) = ( 54 × 9758 ) / 2

LCM(54,9758) = 526932 / 2

LCM(54,9758) = 263466


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FAQs on GCF of Fractions of 716/54, 308/9758

1. What is the HCF of 716,308?

The HCF of 716,308 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 716/54, 308/9758?

Answer: GCF of Numerators as per given numbers 716/54, 308/9758 is

GCF of Numerators i.e. for 716,308 is 4

LCM of denominators i.e. for 54,9758 is 263466.

Thus, GCF of Fractions is 4/263466.Finally, GCF of Fractions for 716/54, 308/9758 is 4/263466.