How to Find GCF of 6445/972, 9356/7760?

GCF of 6445/972, 9356/7760

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 6445/972, 9356/7760 i.e 1/1885680 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6445/972, 9356/7760.

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 6445/972,9356/7760?

Given fractions are 6445/972,9356/7760

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 6445/972,9356/7760, numerators are 6445,9356

Denominators are 972,7760

The GCF of 6445,9356 is 1 .

LCM of 972,7760 is 1885680.

The greatest common factor of 6445/972,9356/7760 = [GCF of 6445,9356]/[LCM of 972,7760]= 1/1885680

Therefore, the GCF of 6445/972,9356/7760 is 1/1885680.

Greatest Common Factor of 6445,9356

To find the highest common factor of 6445,9356, we have to find the factors of both numbers and list the highest common factor.

The factors of 6445 are 1, 5, 1289, 6445

The factors of 9356 are 1, 2, 4, 2339, 4678, 9356

The HCF of 6445,9356 is 1.

Lets's calculate GCF of 6445,9356

Greatest Common Factor (GCF) of 6445,9356 By Common Division

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

Greatest Common Factor of 6445,9356 By Matching Biggest Common Factor Method

Now, list down the factors of 6445

1,5,1289,6445

Now, list down the factors of 9356

1,2,4,2339,4678,9356

Greatest Common Factor

We found the factors 6445,9356 . The biggest common factor number is the GCF number.
So the greatest common factor 6445,9356 is 1.

Lets's calculate LCM of 972,7760

Lowest Common Multiple of 972,7760 using Common Division

2	972, 7760
2	486, 3880
	243, 1940

∴ So the LCM of the given numbers is 2 x 2 x 243 x 1940 = 1885680

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1885680

Therefore, the GCF of Fractions 6445/972,9356/7760 is 1/1885680

Least Common Multiple of 972,7760 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 972,7760 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(972,7760) = 4

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

GCF(972,7760) x common factors =4 x 1 = 4

LCM(972,7760) = ( 972 × 7760 ) / 4

LCM(972,7760) = 7542720 / 4

LCM(972,7760) = 1885680

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FAQs on GCF of Fractions of 6445/972, 9356/7760

1. What is the HCF of 6445,9356?

The HCF of 6445,9356 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 6445/972, 9356/7760?

Answer: GCF of Numerators as per given numbers 6445/972, 9356/7760 is

GCF of Numerators i.e. for 6445,9356 is 1

LCM of denominators i.e. for 972,7760 is 1885680.

Thus, GCF of Fractions is 1/1885680.Finally, GCF of Fractions for 6445/972, 9356/7760 is 1/1885680.