How to Find GCF of 1865/869, 6902/9725?

GCF of 1865/869, 6902/9725

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 1865/869, 6902/9725 i.e 1/8451025 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1865/869, 6902/9725.

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 1865/869,6902/9725?

Given fractions are 1865/869,6902/9725

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 1865/869,6902/9725, numerators are 1865,6902

Denominators are 869,9725

The GCF of 1865,6902 is 1 .

LCM of 869,9725 is 8451025.

The greatest common factor of 1865/869,6902/9725 = [GCF of 1865,6902]/[LCM of 869,9725]= 1/8451025

Therefore, the GCF of 1865/869,6902/9725 is 1/8451025.

Greatest Common Factor of 1865,6902

To find the highest common factor of 1865,6902, we have to find the factors of both numbers and list the highest common factor.

The factors of 1865 are 1, 5, 373, 1865

The factors of 6902 are 1, 2, 7, 14, 17, 29, 34, 58, 119, 203, 238, 406, 493, 986, 3451, 6902

The HCF of 1865,6902 is 1.

Lets's calculate GCF of 1865,6902

Greatest Common Factor (GCF) of 1865,6902 By Common Division

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

Greatest Common Factor of 1865,6902 By Matching Biggest Common Factor Method

Now, list down the factors of 1865

1,5,373,1865

Now, list down the factors of 6902

1,2,7,14,17,29,34,58,119,203,238,406,493,986,3451,6902

Greatest Common Factor

We found the factors 1865,6902 . The biggest common factor number is the GCF number.
So the greatest common factor 1865,6902 is 1.

Lets's calculate LCM of 869,9725

Lowest Common Multiple of 869,9725 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 8451025

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8451025

Therefore, the GCF of Fractions 1865/869,6902/9725 is 1/8451025

Least Common Multiple of 869,9725 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 869,9725 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(869,9725) = 1

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

GCF(869,9725) x common factors =1 x 1 = 1

LCM(869,9725) = ( 869 × 9725 ) / 1

LCM(869,9725) = 8451025 / 1

LCM(869,9725) = 8451025

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 1865/869, 6902/9725

1. What is the HCF of 1865,6902?

The HCF of 1865,6902 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 1865/869, 6902/9725?

Answer: GCF of Numerators as per given numbers 1865/869, 6902/9725 is

GCF of Numerators i.e. for 1865,6902 is 1

LCM of denominators i.e. for 869,9725 is 8451025.

Thus, GCF of Fractions is 1/8451025.Finally, GCF of Fractions for 1865/869, 6902/9725 is 1/8451025.