How to Find GCF of 7771/530, 6422/7251?

GCF of 7771/530, 6422/7251

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 7771/530, 6422/7251 i.e 19/3843030 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7771/530, 6422/7251.

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 7771/530,6422/7251?

Given fractions are 7771/530,6422/7251

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 7771/530,6422/7251, numerators are 7771,6422

Denominators are 530,7251

The GCF of 7771,6422 is 19 .

LCM of 530,7251 is 3843030.

The greatest common factor of 7771/530,6422/7251 = [GCF of 7771,6422]/[LCM of 530,7251]= 19/3843030

Therefore, the GCF of 7771/530,6422/7251 is 19/3843030.

Greatest Common Factor of 7771,6422

To find the highest common factor of 7771,6422, we have to find the factors of both numbers and list the highest common factor.

The factors of 7771 are 1, 19, 409, 7771

The factors of 6422 are 1, 2, 13, 19, 26, 38, 169, 247, 338, 494, 3211, 6422

The HCF of 7771,6422 is 19.

Lets's calculate GCF of 7771,6422

Greatest Common Factor (GCF) of 7771,6422 By Common Division

19	7771, 6422
	409, 338

∴ So the GCF of the given numbers is 19 = 19

Greatest Common Factor of 7771,6422 By Matching Biggest Common Factor Method

Now, list down the factors of 7771

1,19,409,7771

Now, list down the factors of 6422

1,2,13,19,26,38,169,247,338,494,3211,6422

Greatest Common Factor

We found the factors 7771,6422 . The biggest common factor number is the GCF number.
So the greatest common factor 7771,6422 is 19.

Lets's calculate LCM of 530,7251

Lowest Common Multiple of 530,7251 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3843030

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/3843030

Therefore, the GCF of Fractions 7771/530,6422/7251 is 19/3843030

Least Common Multiple of 530,7251 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 530,7251 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(530,7251) = 1

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

GCF(530,7251) x common factors =1 x 1 = 1

LCM(530,7251) = ( 530 × 7251 ) / 1

LCM(530,7251) = 3843030 / 1

LCM(530,7251) = 3843030

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 7771/530, 6422/7251

1. What is the HCF of 7771,6422?

The HCF of 7771,6422 is 19

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 7771/530, 6422/7251?

Answer: GCF of Numerators as per given numbers 7771/530, 6422/7251 is

GCF of Numerators i.e. for 7771,6422 is 19

LCM of denominators i.e. for 530,7251 is 3843030.

Thus, GCF of Fractions is 19/3843030.Finally, GCF of Fractions for 7771/530, 6422/7251 is 19/3843030.