How to Find GCF of 4394/952, 1541/7720?

GCF of 4394/952, 1541/7720

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 4394/952, 1541/7720 i.e 1/918680 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4394/952, 1541/7720.

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 4394/952,1541/7720?

Given fractions are 4394/952,1541/7720

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 4394/952,1541/7720, numerators are 4394,1541

Denominators are 952,7720

The GCF of 4394,1541 is 1 .

LCM of 952,7720 is 918680.

The greatest common factor of 4394/952,1541/7720 = [GCF of 4394,1541]/[LCM of 952,7720]= 1/918680

Therefore, the GCF of 4394/952,1541/7720 is 1/918680.

Greatest Common Factor of 4394,1541

To find the highest common factor of 4394,1541, we have to find the factors of both numbers and list the highest common factor.

The factors of 4394 are 1, 2, 13, 26, 169, 338, 2197, 4394

The factors of 1541 are 1, 23, 67, 1541

The HCF of 4394,1541 is 1.

Lets's calculate GCF of 4394,1541

Greatest Common Factor (GCF) of 4394,1541 By Common Division

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

Greatest Common Factor of 4394,1541 By Matching Biggest Common Factor Method

Now, list down the factors of 4394

1,2,13,26,169,338,2197,4394

Now, list down the factors of 1541

1,23,67,1541

Greatest Common Factor

We found the factors 4394,1541 . The biggest common factor number is the GCF number.
So the greatest common factor 4394,1541 is 1.

Lets's calculate LCM of 952,7720

Lowest Common Multiple of 952,7720 using Common Division

2	952, 7720
2	476, 3860
2	238, 1930
	119, 965

∴ So the LCM of the given numbers is 2 x 2 x 2 x 119 x 965 = 918680

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/918680

Therefore, the GCF of Fractions 4394/952,1541/7720 is 1/918680

Least Common Multiple of 952,7720 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 952,7720 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(952,7720) = 8

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

GCF(952,7720) x common factors =8 x 1 = 8

LCM(952,7720) = ( 952 × 7720 ) / 8

LCM(952,7720) = 7349440 / 8

LCM(952,7720) = 918680

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 4394/952, 1541/7720

1. What is the HCF of 4394,1541?

The HCF of 4394,1541 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 4394/952, 1541/7720?

Answer: GCF of Numerators as per given numbers 4394/952, 1541/7720 is

GCF of Numerators i.e. for 4394,1541 is 1

LCM of denominators i.e. for 952,7720 is 918680.

Thus, GCF of Fractions is 1/918680.Finally, GCF of Fractions for 4394/952, 1541/7720 is 1/918680.