How to Find GCF of 931/409, 7267/981?

GCF of 931/409, 7267/981

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 931/409, 7267/981 i.e 1/401229 easily. The following is the detailed procedure to determine the greatest common factor of fractions 931/409, 7267/981.

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 931/409,7267/981?

Given fractions are 931/409,7267/981

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 931/409,7267/981, numerators are 931,7267

Denominators are 409,981

The GCF of 931,7267 is 1 .

LCM of 409,981 is 401229.

The greatest common factor of 931/409,7267/981 = [GCF of 931,7267]/[LCM of 409,981]= 1/401229

Therefore, the GCF of 931/409,7267/981 is 1/401229.

Greatest Common Factor of 931,7267

To find the highest common factor of 931,7267, we have to find the factors of both numbers and list the highest common factor.

The factors of 931 are 1, 7, 19, 49, 133, 931

The factors of 7267 are 1, 13, 43, 169, 559, 7267

The HCF of 931,7267 is 1.

Lets's calculate GCF of 931,7267

Greatest Common Factor (GCF) of 931,7267 By Common Division

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

Greatest Common Factor of 931,7267 By Matching Biggest Common Factor Method

Now, list down the factors of 931

1,7,19,49,133,931

Now, list down the factors of 7267

1,13,43,169,559,7267

Greatest Common Factor

We found the factors 931,7267 . The biggest common factor number is the GCF number.
So the greatest common factor 931,7267 is 1.

Lets's calculate LCM of 409,981

Lowest Common Multiple of 409,981 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 401229

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/401229

Therefore, the GCF of Fractions 931/409,7267/981 is 1/401229

Least Common Multiple of 409,981 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 409,981 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(409,981) = 1

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

GCF(409,981) x common factors =1 x 1 = 1

LCM(409,981) = ( 409 × 981 ) / 1

LCM(409,981) = 401229 / 1

LCM(409,981) = 401229

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FAQs on GCF of Fractions of 931/409, 7267/981

1. What is the HCF of 931,7267?

The HCF of 931,7267 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 931/409, 7267/981?

Answer: GCF of Numerators as per given numbers 931/409, 7267/981 is

GCF of Numerators i.e. for 931,7267 is 1

LCM of denominators i.e. for 409,981 is 401229.

Thus, GCF of Fractions is 1/401229.Finally, GCF of Fractions for 931/409, 7267/981 is 1/401229.