How to Find GCF of 5701/939, 7879/2962?

GCF of 5701/939, 7879/2962

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 5701/939, 7879/2962 i.e 1/2781318 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5701/939, 7879/2962.

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 5701/939,7879/2962?

Given fractions are 5701/939,7879/2962

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 5701/939,7879/2962, numerators are 5701,7879

Denominators are 939,2962

The GCF of 5701,7879 is 1 .

LCM of 939,2962 is 2781318.

The greatest common factor of 5701/939,7879/2962 = [GCF of 5701,7879]/[LCM of 939,2962]= 1/2781318

Therefore, the GCF of 5701/939,7879/2962 is 1/2781318.

Greatest Common Factor of 5701,7879

To find the highest common factor of 5701,7879, we have to find the factors of both numbers and list the highest common factor.

The factors of 5701 are 1, 5701

The factors of 7879 are 1, 7879

The HCF of 5701,7879 is 1.

Lets's calculate GCF of 5701,7879

Greatest Common Factor (GCF) of 5701,7879 By Common Division

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

Greatest Common Factor of 5701,7879 By Matching Biggest Common Factor Method

Now, list down the factors of 5701

1,5701

Now, list down the factors of 7879

1,7879

Greatest Common Factor

We found the factors 5701,7879 . The biggest common factor number is the GCF number.
So the greatest common factor 5701,7879 is 1.

Lets's calculate LCM of 939,2962

Lowest Common Multiple of 939,2962 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2781318

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2781318

Therefore, the GCF of Fractions 5701/939,7879/2962 is 1/2781318

Least Common Multiple of 939,2962 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 939,2962 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(939,2962) = 1

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

GCF(939,2962) x common factors =1 x 1 = 1

LCM(939,2962) = ( 939 × 2962 ) / 1

LCM(939,2962) = 2781318 / 1

LCM(939,2962) = 2781318

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FAQs on GCF of Fractions of 5701/939, 7879/2962

1. What is the HCF of 5701,7879?

The HCF of 5701,7879 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 5701/939, 7879/2962?

Answer: GCF of Numerators as per given numbers 5701/939, 7879/2962 is

GCF of Numerators i.e. for 5701,7879 is 1

LCM of denominators i.e. for 939,2962 is 2781318.

Thus, GCF of Fractions is 1/2781318.Finally, GCF of Fractions for 5701/939, 7879/2962 is 1/2781318.