How to Find GCF of 6495/968, 7354/640?

GCF of 6495/968, 7354/640

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 6495/968, 7354/640 i.e 1/77440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6495/968, 7354/640.

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 6495/968,7354/640?

Given fractions are 6495/968,7354/640

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 6495/968,7354/640, numerators are 6495,7354

Denominators are 968,640

The GCF of 6495,7354 is 1 .

LCM of 968,640 is 77440.

The greatest common factor of 6495/968,7354/640 = [GCF of 6495,7354]/[LCM of 968,640]= 1/77440

Therefore, the GCF of 6495/968,7354/640 is 1/77440.

Greatest Common Factor of 6495,7354

To find the highest common factor of 6495,7354, we have to find the factors of both numbers and list the highest common factor.

The factors of 6495 are 1, 3, 5, 15, 433, 1299, 2165, 6495

The factors of 7354 are 1, 2, 3677, 7354

The HCF of 6495,7354 is 1.

Lets's calculate GCF of 6495,7354

Greatest Common Factor (GCF) of 6495,7354 By Common Division

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

Greatest Common Factor of 6495,7354 By Matching Biggest Common Factor Method

Now, list down the factors of 6495

1,3,5,15,433,1299,2165,6495

Now, list down the factors of 7354

1,2,3677,7354

Greatest Common Factor

We found the factors 6495,7354 . The biggest common factor number is the GCF number.
So the greatest common factor 6495,7354 is 1.

Lets's calculate LCM of 968,640

Lowest Common Multiple of 968,640 using Common Division

2	968, 640
2	484, 320
2	242, 160
	121, 80

∴ So the LCM of the given numbers is 2 x 2 x 2 x 121 x 80 = 77440

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/77440

Therefore, the GCF of Fractions 6495/968,7354/640 is 1/77440

Least Common Multiple of 968,640 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 968,640 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(968,640) = 8

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

GCF(968,640) x common factors =8 x 1 = 8

LCM(968,640) = ( 968 × 640 ) / 8

LCM(968,640) = 619520 / 8

LCM(968,640) = 77440

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 6495/968, 7354/640

1. What is the HCF of 6495,7354?

The HCF of 6495,7354 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 6495/968, 7354/640?

Answer: GCF of Numerators as per given numbers 6495/968, 7354/640 is

GCF of Numerators i.e. for 6495,7354 is 1

LCM of denominators i.e. for 968,640 is 77440.

Thus, GCF of Fractions is 1/77440.Finally, GCF of Fractions for 6495/968, 7354/640 is 1/77440.