How to Find GCF of 9865/408, 2701/3508?

GCF of 9865/408, 2701/3508

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 9865/408, 2701/3508 i.e 1/357816 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9865/408, 2701/3508.

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 9865/408,2701/3508?

Given fractions are 9865/408,2701/3508

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 9865/408,2701/3508, numerators are 9865,2701

Denominators are 408,3508

The GCF of 9865,2701 is 1 .

LCM of 408,3508 is 357816.

The greatest common factor of 9865/408,2701/3508 = [GCF of 9865,2701]/[LCM of 408,3508]= 1/357816

Therefore, the GCF of 9865/408,2701/3508 is 1/357816.

Greatest Common Factor of 9865,2701

To find the highest common factor of 9865,2701, we have to find the factors of both numbers and list the highest common factor.

The factors of 9865 are 1, 5, 1973, 9865

The factors of 2701 are 1, 37, 73, 2701

The HCF of 9865,2701 is 1.

Lets's calculate GCF of 9865,2701

Greatest Common Factor (GCF) of 9865,2701 By Common Division

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

Greatest Common Factor of 9865,2701 By Matching Biggest Common Factor Method

Now, list down the factors of 9865

1,5,1973,9865

Now, list down the factors of 2701

1,37,73,2701

Greatest Common Factor

We found the factors 9865,2701 . The biggest common factor number is the GCF number.
So the greatest common factor 9865,2701 is 1.

Lets's calculate LCM of 408,3508

Lowest Common Multiple of 408,3508 using Common Division

2	408, 3508
2	204, 1754
	102, 877

∴ So the LCM of the given numbers is 2 x 2 x 102 x 877 = 357816

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/357816

Therefore, the GCF of Fractions 9865/408,2701/3508 is 1/357816

Least Common Multiple of 408,3508 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 408,3508 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(408,3508) = 4

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

GCF(408,3508) x common factors =4 x 1 = 4

LCM(408,3508) = ( 408 × 3508 ) / 4

LCM(408,3508) = 1431264 / 4

LCM(408,3508) = 357816

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FAQs on GCF of Fractions of 9865/408, 2701/3508

1. What is the HCF of 9865,2701?

The HCF of 9865,2701 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 9865/408, 2701/3508?

Answer: GCF of Numerators as per given numbers 9865/408, 2701/3508 is

GCF of Numerators i.e. for 9865,2701 is 1

LCM of denominators i.e. for 408,3508 is 357816.

Thus, GCF of Fractions is 1/357816.Finally, GCF of Fractions for 9865/408, 2701/3508 is 1/357816.