How to Find GCF of 403/616, 9079/9560?

GCF of 403/616, 9079/9560

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 403/616, 9079/9560 i.e 1/736120 easily. The following is the detailed procedure to determine the greatest common factor of fractions 403/616, 9079/9560.

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 403/616,9079/9560?

Given fractions are 403/616,9079/9560

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 403/616,9079/9560, numerators are 403,9079

Denominators are 616,9560

The GCF of 403,9079 is 1 .

LCM of 616,9560 is 736120.

The greatest common factor of 403/616,9079/9560 = [GCF of 403,9079]/[LCM of 616,9560]= 1/736120

Therefore, the GCF of 403/616,9079/9560 is 1/736120.

Greatest Common Factor of 403,9079

To find the highest common factor of 403,9079, we have to find the factors of both numbers and list the highest common factor.

The factors of 403 are 1, 13, 31, 403

The factors of 9079 are 1, 7, 1297, 9079

The HCF of 403,9079 is 1.

Lets's calculate GCF of 403,9079

Greatest Common Factor (GCF) of 403,9079 By Common Division

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

Greatest Common Factor of 403,9079 By Matching Biggest Common Factor Method

Now, list down the factors of 403

1,13,31,403

Now, list down the factors of 9079

1,7,1297,9079

Greatest Common Factor

We found the factors 403,9079 . The biggest common factor number is the GCF number.
So the greatest common factor 403,9079 is 1.

Lets's calculate LCM of 616,9560

Lowest Common Multiple of 616,9560 using Common Division

2	616, 9560
2	308, 4780
2	154, 2390
	77, 1195

∴ So the LCM of the given numbers is 2 x 2 x 2 x 77 x 1195 = 736120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/736120

Therefore, the GCF of Fractions 403/616,9079/9560 is 1/736120

Least Common Multiple of 616,9560 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 616,9560 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(616,9560) = 8

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

GCF(616,9560) x common factors =8 x 1 = 8

LCM(616,9560) = ( 616 × 9560 ) / 8

LCM(616,9560) = 5888960 / 8

LCM(616,9560) = 736120

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 403/616, 9079/9560

1. What is the HCF of 403,9079?

The HCF of 403,9079 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 403/616, 9079/9560?

Answer: GCF of Numerators as per given numbers 403/616, 9079/9560 is

GCF of Numerators i.e. for 403,9079 is 1

LCM of denominators i.e. for 616,9560 is 736120.

Thus, GCF of Fractions is 1/736120.Finally, GCF of Fractions for 403/616, 9079/9560 is 1/736120.