How to Find GCF of 7765/392, 9297/8650?

GCF of 7765/392, 9297/8650

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 7765/392, 9297/8650 i.e 1/1695400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7765/392, 9297/8650.

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 7765/392,9297/8650?

Given fractions are 7765/392,9297/8650

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 7765/392,9297/8650, numerators are 7765,9297

Denominators are 392,8650

The GCF of 7765,9297 is 1 .

LCM of 392,8650 is 1695400.

The greatest common factor of 7765/392,9297/8650 = [GCF of 7765,9297]/[LCM of 392,8650]= 1/1695400

Therefore, the GCF of 7765/392,9297/8650 is 1/1695400.

Greatest Common Factor of 7765,9297

To find the highest common factor of 7765,9297, we have to find the factors of both numbers and list the highest common factor.

The factors of 7765 are 1, 5, 1553, 7765

The factors of 9297 are 1, 3, 9, 1033, 3099, 9297

The HCF of 7765,9297 is 1.

Lets's calculate GCF of 7765,9297

Greatest Common Factor (GCF) of 7765,9297 By Common Division

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

Greatest Common Factor of 7765,9297 By Matching Biggest Common Factor Method

Now, list down the factors of 7765

1,5,1553,7765

Now, list down the factors of 9297

1,3,9,1033,3099,9297

Greatest Common Factor

We found the factors 7765,9297 . The biggest common factor number is the GCF number.
So the greatest common factor 7765,9297 is 1.

Lets's calculate LCM of 392,8650

Lowest Common Multiple of 392,8650 using Common Division

2	392, 8650
	196, 4325

∴ So the LCM of the given numbers is 2 x 196 x 4325 = 1695400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1695400

Therefore, the GCF of Fractions 7765/392,9297/8650 is 1/1695400

Least Common Multiple of 392,8650 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 392,8650 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(392,8650) = 2

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

GCF(392,8650) x common factors =2 x 1 = 2

LCM(392,8650) = ( 392 × 8650 ) / 2

LCM(392,8650) = 3390800 / 2

LCM(392,8650) = 1695400

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FAQs on GCF of Fractions of 7765/392, 9297/8650

1. What is the HCF of 7765,9297?

The HCF of 7765,9297 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 7765/392, 9297/8650?

Answer: GCF of Numerators as per given numbers 7765/392, 9297/8650 is

GCF of Numerators i.e. for 7765,9297 is 1

LCM of denominators i.e. for 392,8650 is 1695400.

Thus, GCF of Fractions is 1/1695400.Finally, GCF of Fractions for 7765/392, 9297/8650 is 1/1695400.