How to Find GCF of 9851/960, 6901/2560?

GCF of 9851/960, 6901/2560

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 9851/960, 6901/2560 i.e 1/7680 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9851/960, 6901/2560.

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 9851/960,6901/2560?

Given fractions are 9851/960,6901/2560

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 9851/960,6901/2560, numerators are 9851,6901

Denominators are 960,2560

The GCF of 9851,6901 is 1 .

LCM of 960,2560 is 7680.

The greatest common factor of 9851/960,6901/2560 = [GCF of 9851,6901]/[LCM of 960,2560]= 1/7680

Therefore, the GCF of 9851/960,6901/2560 is 1/7680.

Greatest Common Factor of 9851,6901

To find the highest common factor of 9851,6901, we have to find the factors of both numbers and list the highest common factor.

The factors of 9851 are 1, 9851

The factors of 6901 are 1, 67, 103, 6901

The HCF of 9851,6901 is 1.

Lets's calculate GCF of 9851,6901

Greatest Common Factor (GCF) of 9851,6901 By Common Division

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

Greatest Common Factor of 9851,6901 By Matching Biggest Common Factor Method

Now, list down the factors of 9851

1,9851

Now, list down the factors of 6901

1,67,103,6901

Greatest Common Factor

We found the factors 9851,6901 . The biggest common factor number is the GCF number.
So the greatest common factor 9851,6901 is 1.

Lets's calculate LCM of 960,2560

Lowest Common Multiple of 960,2560 using Common Division

2	960, 2560
2	480, 1280
2	240, 640
2	120, 320
2	60, 160
2	30, 80
5	15, 40
	3, 8

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 5 x 3 x 8 = 7680

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7680

Therefore, the GCF of Fractions 9851/960,6901/2560 is 1/7680

Least Common Multiple of 960,2560 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 960,2560 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(960,2560) = 320

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

GCF(960,2560) x common factors =320 x 1 = 320

LCM(960,2560) = ( 960 × 2560 ) / 320

LCM(960,2560) = 2457600 / 320

LCM(960,2560) = 7680

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FAQs on GCF of Fractions of 9851/960, 6901/2560

1. What is the HCF of 9851,6901?

The HCF of 9851,6901 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 9851/960, 6901/2560?

Answer: GCF of Numerators as per given numbers 9851/960, 6901/2560 is

GCF of Numerators i.e. for 9851,6901 is 1

LCM of denominators i.e. for 960,2560 is 7680.

Thus, GCF of Fractions is 1/7680.Finally, GCF of Fractions for 9851/960, 6901/2560 is 1/7680.