How to Find GCF of 8031/348, 7262/7759?

GCF of 8031/348, 7262/7759

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 8031/348, 7262/7759 i.e 1/2700132 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8031/348, 7262/7759.

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 8031/348,7262/7759?

Given fractions are 8031/348,7262/7759

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 8031/348,7262/7759, numerators are 8031,7262

Denominators are 348,7759

The GCF of 8031,7262 is 1 .

LCM of 348,7759 is 2700132.

The greatest common factor of 8031/348,7262/7759 = [GCF of 8031,7262]/[LCM of 348,7759]= 1/2700132

Therefore, the GCF of 8031/348,7262/7759 is 1/2700132.

Greatest Common Factor of 8031,7262

To find the highest common factor of 8031,7262, we have to find the factors of both numbers and list the highest common factor.

The factors of 8031 are 1, 3, 2677, 8031

The factors of 7262 are 1, 2, 3631, 7262

The HCF of 8031,7262 is 1.

Lets's calculate GCF of 8031,7262

Greatest Common Factor (GCF) of 8031,7262 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 8031,7262 By Matching Biggest Common Factor Method

Now, list down the factors of 8031

1,3,2677,8031

Now, list down the factors of 7262

1,2,3631,7262

Greatest Common Factor

We found the factors 8031,7262 . The biggest common factor number is the GCF number.
So the greatest common factor 8031,7262 is 1.

Lets's calculate LCM of 348,7759

Lowest Common Multiple of 348,7759 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2700132

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2700132

Therefore, the GCF of Fractions 8031/348,7262/7759 is 1/2700132

Least Common Multiple of 348,7759 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 348,7759 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(348,7759) = 1

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

GCF(348,7759) x common factors =1 x 1 = 1

LCM(348,7759) = ( 348 × 7759 ) / 1

LCM(348,7759) = 2700132 / 1

LCM(348,7759) = 2700132

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FAQs on GCF of Fractions of 8031/348, 7262/7759

1. What is the HCF of 8031,7262?

The HCF of 8031,7262 is 1

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 8031/348, 7262/7759?

Answer: GCF of Numerators as per given numbers 8031/348, 7262/7759 is

GCF of Numerators i.e. for 8031,7262 is 1

LCM of denominators i.e. for 348,7759 is 2700132.

Thus, GCF of Fractions is 1/2700132.Finally, GCF of Fractions for 8031/348, 7262/7759 is 1/2700132.