How to Find GCF of 776/114, 688/337?

GCF of 776/114, 688/337

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 776/114, 688/337 i.e 8/38418 easily. The following is the detailed procedure to determine the greatest common factor of fractions 776/114, 688/337.

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 776/114,688/337?

Given fractions are 776/114,688/337

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 776/114,688/337, numerators are 776,688

Denominators are 114,337

The GCF of 776,688 is 8 .

LCM of 114,337 is 38418.

The greatest common factor of 776/114,688/337 = [GCF of 776,688]/[LCM of 114,337]= 8/38418

Therefore, the GCF of 776/114,688/337 is 8/38418.

Greatest Common Factor of 776,688

To find the highest common factor of 776,688, we have to find the factors of both numbers and list the highest common factor.

The factors of 776 are 1, 2, 4, 8, 97, 194, 388, 776

The factors of 688 are 1, 2, 4, 8, 16, 43, 86, 172, 344, 688

The HCF of 776,688 is 8.

Lets's calculate GCF of 776,688

Greatest Common Factor (GCF) of 776,688 By Common Division

2	776, 688
2	388, 344
2	194, 172
	97, 86

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

Greatest Common Factor of 776,688 By Matching Biggest Common Factor Method

Now, list down the factors of 776

1,2,4,8,97,194,388,776

Now, list down the factors of 688

1,2,4,8,16,43,86,172,344,688

Greatest Common Factor

We found the factors 776,688 . The biggest common factor number is the GCF number.
So the greatest common factor 776,688 is 8.

Lets's calculate LCM of 114,337

Lowest Common Multiple of 114,337 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 38418

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/38418

Therefore, the GCF of Fractions 776/114,688/337 is 8/38418

Least Common Multiple of 114,337 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 114,337 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(114,337) = 1

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

GCF(114,337) x common factors =1 x 1 = 1

LCM(114,337) = ( 114 × 337 ) / 1

LCM(114,337) = 38418 / 1

LCM(114,337) = 38418

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FAQs on GCF of Fractions of 776/114, 688/337

1. What is the HCF of 776,688?

The HCF of 776,688 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 776/114, 688/337?

Answer: GCF of Numerators as per given numbers 776/114, 688/337 is

GCF of Numerators i.e. for 776,688 is 8

LCM of denominators i.e. for 114,337 is 38418.

Thus, GCF of Fractions is 8/38418.Finally, GCF of Fractions for 776/114, 688/337 is 8/38418.