How to Find GCF of 269/981, 6100/1031?

GCF of 269/981, 6100/1031

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 269/981, 6100/1031 i.e 1/1011411 easily. The following is the detailed procedure to determine the greatest common factor of fractions 269/981, 6100/1031.

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 269/981,6100/1031?

Given fractions are 269/981,6100/1031

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 269/981,6100/1031, numerators are 269,6100

Denominators are 981,1031

The GCF of 269,6100 is 1 .

LCM of 981,1031 is 1011411.

The greatest common factor of 269/981,6100/1031 = [GCF of 269,6100]/[LCM of 981,1031]= 1/1011411

Therefore, the GCF of 269/981,6100/1031 is 1/1011411.

Greatest Common Factor of 269,6100

To find the highest common factor of 269,6100, we have to find the factors of both numbers and list the highest common factor.

The factors of 269 are 1, 269

The factors of 6100 are 1, 2, 4, 5, 10, 20, 25, 50, 61, 100, 122, 244, 305, 610, 1220, 1525, 3050, 6100

The HCF of 269,6100 is 1.

Lets's calculate GCF of 269,6100

Greatest Common Factor (GCF) of 269,6100 By Common Division

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

Greatest Common Factor of 269,6100 By Matching Biggest Common Factor Method

Now, list down the factors of 269

1,269

Now, list down the factors of 6100

1,2,4,5,10,20,25,50,61,100,122,244,305,610,1220,1525,3050,6100

Greatest Common Factor

We found the factors 269,6100 . The biggest common factor number is the GCF number.
So the greatest common factor 269,6100 is 1.

Lets's calculate LCM of 981,1031

Lowest Common Multiple of 981,1031 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1011411

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1011411

Therefore, the GCF of Fractions 269/981,6100/1031 is 1/1011411

Least Common Multiple of 981,1031 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 981,1031 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(981,1031) = 1

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

GCF(981,1031) x common factors =1 x 1 = 1

LCM(981,1031) = ( 981 × 1031 ) / 1

LCM(981,1031) = 1011411 / 1

LCM(981,1031) = 1011411

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 269/981, 6100/1031

1. What is the HCF of 269,6100?

The HCF of 269,6100 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 269/981, 6100/1031?

Answer: GCF of Numerators as per given numbers 269/981, 6100/1031 is

GCF of Numerators i.e. for 269,6100 is 1

LCM of denominators i.e. for 981,1031 is 1011411.

Thus, GCF of Fractions is 1/1011411.Finally, GCF of Fractions for 269/981, 6100/1031 is 1/1011411.