How to Find GCF of 794/484, 7552/997?

GCF of 794/484, 7552/997

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 794/484, 7552/997 i.e 2/482548 easily. The following is the detailed procedure to determine the greatest common factor of fractions 794/484, 7552/997.

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 794/484,7552/997?

Given fractions are 794/484,7552/997

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 794/484,7552/997, numerators are 794,7552

Denominators are 484,997

The GCF of 794,7552 is 2 .

LCM of 484,997 is 482548.

The greatest common factor of 794/484,7552/997 = [GCF of 794,7552]/[LCM of 484,997]= 2/482548

Therefore, the GCF of 794/484,7552/997 is 2/482548.

Greatest Common Factor of 794,7552

To find the highest common factor of 794,7552, we have to find the factors of both numbers and list the highest common factor.

The factors of 794 are 1, 2, 397, 794

The factors of 7552 are 1, 2, 4, 8, 16, 32, 59, 64, 118, 128, 236, 472, 944, 1888, 3776, 7552

The HCF of 794,7552 is 2.

Lets's calculate GCF of 794,7552

Greatest Common Factor (GCF) of 794,7552 By Common Division

2	794, 7552
	397, 3776

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

Greatest Common Factor of 794,7552 By Matching Biggest Common Factor Method

Now, list down the factors of 794

1,2,397,794

Now, list down the factors of 7552

1,2,4,8,16,32,59,64,118,128,236,472,944,1888,3776,7552

Greatest Common Factor

We found the factors 794,7552 . The biggest common factor number is the GCF number.
So the greatest common factor 794,7552 is 2.

Lets's calculate LCM of 484,997

Lowest Common Multiple of 484,997 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 482548

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/482548

Therefore, the GCF of Fractions 794/484,7552/997 is 2/482548

Least Common Multiple of 484,997 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 484,997 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(484,997) = 1

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

GCF(484,997) x common factors =1 x 1 = 1

LCM(484,997) = ( 484 × 997 ) / 1

LCM(484,997) = 482548 / 1

LCM(484,997) = 482548

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FAQs on GCF of Fractions of 794/484, 7552/997

1. What is the HCF of 794,7552?

The HCF of 794,7552 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 794/484, 7552/997?

Answer: GCF of Numerators as per given numbers 794/484, 7552/997 is

GCF of Numerators i.e. for 794,7552 is 2

LCM of denominators i.e. for 484,997 is 482548.

Thus, GCF of Fractions is 2/482548.Finally, GCF of Fractions for 794/484, 7552/997 is 2/482548.