How to Find GCF of 3907/659, 1267/5648?

GCF of 3907/659, 1267/5648

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 3907/659, 1267/5648 i.e 1/3722032 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3907/659, 1267/5648.

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 3907/659,1267/5648?

Given fractions are 3907/659,1267/5648

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 3907/659,1267/5648, numerators are 3907,1267

Denominators are 659,5648

The GCF of 3907,1267 is 1 .

LCM of 659,5648 is 3722032.

The greatest common factor of 3907/659,1267/5648 = [GCF of 3907,1267]/[LCM of 659,5648]= 1/3722032

Therefore, the GCF of 3907/659,1267/5648 is 1/3722032.

Greatest Common Factor of 3907,1267

To find the highest common factor of 3907,1267, we have to find the factors of both numbers and list the highest common factor.

The factors of 3907 are 1, 3907

The factors of 1267 are 1, 7, 181, 1267

The HCF of 3907,1267 is 1.

Lets's calculate GCF of 3907,1267

Greatest Common Factor (GCF) of 3907,1267 By Common Division

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

Greatest Common Factor of 3907,1267 By Matching Biggest Common Factor Method

Now, list down the factors of 3907

1,3907

Now, list down the factors of 1267

1,7,181,1267

Greatest Common Factor

We found the factors 3907,1267 . The biggest common factor number is the GCF number.
So the greatest common factor 3907,1267 is 1.

Lets's calculate LCM of 659,5648

Lowest Common Multiple of 659,5648 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3722032

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3722032

Therefore, the GCF of Fractions 3907/659,1267/5648 is 1/3722032

Least Common Multiple of 659,5648 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 659,5648 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(659,5648) = 1

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

GCF(659,5648) x common factors =1 x 1 = 1

LCM(659,5648) = ( 659 × 5648 ) / 1

LCM(659,5648) = 3722032 / 1

LCM(659,5648) = 3722032

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FAQs on GCF of Fractions of 3907/659, 1267/5648

1. What is the HCF of 3907,1267?

The HCF of 3907,1267 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 3907/659, 1267/5648?

Answer: GCF of Numerators as per given numbers 3907/659, 1267/5648 is

GCF of Numerators i.e. for 3907,1267 is 1

LCM of denominators i.e. for 659,5648 is 3722032.

Thus, GCF of Fractions is 1/3722032.Finally, GCF of Fractions for 3907/659, 1267/5648 is 1/3722032.