How to Find GCF of 7157/245, 3995/711?

GCF of 7157/245, 3995/711

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 7157/245, 3995/711 i.e 17/174195 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7157/245, 3995/711.

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 7157/245,3995/711?

Given fractions are 7157/245,3995/711

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 7157/245,3995/711, numerators are 7157,3995

Denominators are 245,711

The GCF of 7157,3995 is 17 .

LCM of 245,711 is 174195.

The greatest common factor of 7157/245,3995/711 = [GCF of 7157,3995]/[LCM of 245,711]= 17/174195

Therefore, the GCF of 7157/245,3995/711 is 17/174195.

Greatest Common Factor of 7157,3995

To find the highest common factor of 7157,3995, we have to find the factors of both numbers and list the highest common factor.

The factors of 7157 are 1, 17, 421, 7157

The factors of 3995 are 1, 5, 17, 47, 85, 235, 799, 3995

The HCF of 7157,3995 is 17.

Lets's calculate GCF of 7157,3995

Greatest Common Factor (GCF) of 7157,3995 By Common Division

17	7157, 3995
	421, 235

∴ So the GCF of the given numbers is 17 = 17

Greatest Common Factor of 7157,3995 By Matching Biggest Common Factor Method

Now, list down the factors of 7157

1,17,421,7157

Now, list down the factors of 3995

1,5,17,47,85,235,799,3995

Greatest Common Factor

We found the factors 7157,3995 . The biggest common factor number is the GCF number.
So the greatest common factor 7157,3995 is 17.

Lets's calculate LCM of 245,711

Lowest Common Multiple of 245,711 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 174195

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/174195

Therefore, the GCF of Fractions 7157/245,3995/711 is 17/174195

Least Common Multiple of 245,711 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 245,711 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(245,711) = 1

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

GCF(245,711) x common factors =1 x 1 = 1

LCM(245,711) = ( 245 × 711 ) / 1

LCM(245,711) = 174195 / 1

LCM(245,711) = 174195

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 7157/245, 3995/711

1. What is the HCF of 7157,3995?

The HCF of 7157,3995 is 17

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 7157/245, 3995/711?

Answer: GCF of Numerators as per given numbers 7157/245, 3995/711 is

GCF of Numerators i.e. for 7157,3995 is 17

LCM of denominators i.e. for 245,711 is 174195.

Thus, GCF of Fractions is 17/174195.Finally, GCF of Fractions for 7157/245, 3995/711 is 17/174195.