How to Find GCF of 776/743, 4756/232?

GCF of 776/743, 4756/232

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 776/743, 4756/232 i.e 4/172376 easily. The following is the detailed procedure to determine the greatest common factor of fractions 776/743, 4756/232.

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 776/743,4756/232?

Given fractions are 776/743,4756/232

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 776/743,4756/232, numerators are 776,4756

Denominators are 743,232

The GCF of 776,4756 is 4 .

LCM of 743,232 is 172376.

The greatest common factor of 776/743,4756/232 = [GCF of 776,4756]/[LCM of 743,232]= 4/172376

Therefore, the GCF of 776/743,4756/232 is 4/172376.

Greatest Common Factor of 776,4756

To find the highest common factor of 776,4756, 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 4756 are 1, 2, 4, 29, 41, 58, 82, 116, 164, 1189, 2378, 4756

The HCF of 776,4756 is 4.

Lets's calculate GCF of 776,4756

Greatest Common Factor (GCF) of 776,4756 By Common Division

2	776, 4756
2	388, 2378
	194, 1189

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

Greatest Common Factor of 776,4756 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 4756

1,2,4,29,41,58,82,116,164,1189,2378,4756

Greatest Common Factor

We found the factors 776,4756 . The biggest common factor number is the GCF number.
So the greatest common factor 776,4756 is 4.

Lets's calculate LCM of 743,232

Lowest Common Multiple of 743,232 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 172376

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/172376

Therefore, the GCF of Fractions 776/743,4756/232 is 4/172376

Least Common Multiple of 743,232 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 743,232 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(743,232) = 1

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

GCF(743,232) x common factors =1 x 1 = 1

LCM(743,232) = ( 743 × 232 ) / 1

LCM(743,232) = 172376 / 1

LCM(743,232) = 172376

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FAQs on GCF of Fractions of 776/743, 4756/232

1. What is the HCF of 776,4756?

The HCF of 776,4756 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 776/743, 4756/232?

Answer: GCF of Numerators as per given numbers 776/743, 4756/232 is

GCF of Numerators i.e. for 776,4756 is 4

LCM of denominators i.e. for 743,232 is 172376.

Thus, GCF of Fractions is 4/172376.Finally, GCF of Fractions for 776/743, 4756/232 is 4/172376.