How to Find GCF of 7622/521, 2251/8152?

GCF of 7622/521, 2251/8152

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 7622/521, 2251/8152 i.e 1/4247192 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7622/521, 2251/8152.

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 7622/521,2251/8152?

Given fractions are 7622/521,2251/8152

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 7622/521,2251/8152, numerators are 7622,2251

Denominators are 521,8152

The GCF of 7622,2251 is 1 .

LCM of 521,8152 is 4247192.

The greatest common factor of 7622/521,2251/8152 = [GCF of 7622,2251]/[LCM of 521,8152]= 1/4247192

Therefore, the GCF of 7622/521,2251/8152 is 1/4247192.

Greatest Common Factor of 7622,2251

To find the highest common factor of 7622,2251, we have to find the factors of both numbers and list the highest common factor.

The factors of 7622 are 1, 2, 37, 74, 103, 206, 3811, 7622

The factors of 2251 are 1, 2251

The HCF of 7622,2251 is 1.

Lets's calculate GCF of 7622,2251

Greatest Common Factor (GCF) of 7622,2251 By Common Division

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

Greatest Common Factor of 7622,2251 By Matching Biggest Common Factor Method

Now, list down the factors of 7622

1,2,37,74,103,206,3811,7622

Now, list down the factors of 2251

1,2251

Greatest Common Factor

We found the factors 7622,2251 . The biggest common factor number is the GCF number.
So the greatest common factor 7622,2251 is 1.

Lets's calculate LCM of 521,8152

Lowest Common Multiple of 521,8152 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4247192

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4247192

Therefore, the GCF of Fractions 7622/521,2251/8152 is 1/4247192

Least Common Multiple of 521,8152 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 521,8152 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(521,8152) = 1

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

GCF(521,8152) x common factors =1 x 1 = 1

LCM(521,8152) = ( 521 × 8152 ) / 1

LCM(521,8152) = 4247192 / 1

LCM(521,8152) = 4247192

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FAQs on GCF of Fractions of 7622/521, 2251/8152

1. What is the HCF of 7622,2251?

The HCF of 7622,2251 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 7622/521, 2251/8152?

Answer: GCF of Numerators as per given numbers 7622/521, 2251/8152 is

GCF of Numerators i.e. for 7622,2251 is 1

LCM of denominators i.e. for 521,8152 is 4247192.

Thus, GCF of Fractions is 1/4247192.Finally, GCF of Fractions for 7622/521, 2251/8152 is 1/4247192.