Greatest Common Factor of 9784/49, 5881/770

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9784/49, 5881/770

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 9784/49,5881/770

Given fractions are 9784/49,5881/770

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 9784,5881

Greatest Common Factor of Numerators i.e. GCF of 9784,5881 is 1 .

LCM of Denominators means LCM of 49,770 as per the given fractions.

LCM of 49,770 is 5390 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9784,5881

GCF of Fractions 9784/49,5881/770 is 1/5390

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

Greatest Common Factor of 9784,5881 By Matching Biggest Common Factor Method

Greatest Common Factor of 9784,5881 By Matching Biggest Common Factor Method

Factors of 9784

List of positive integer factors of 9784 that divides 9784 without a remainder.

1,2,4,8,1223,2446,4892,9784

Factors of 5881

List of positive integer factors of 5881 that divides 5881 without a remainder.

1,5881

Greatest Common Factor

We found the factors 9784,5881 . The biggest common factor number is the GCF number.
So the greatest common factor 9784,5881 is 1.

Lets's calculate LCM of 49,770

7 49, 770
7, 110

∴ So the LCM of the given numbers is 7 x 7 x 110 = 5390

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5390

Therefore, the GCF of Fractions 9784/49,5881/770 is 1/5390

Least Common Multiple of 49,770 with GCF Formula

Least Common Multiple of 49,770 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 49,770 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,770) = 7

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

GCF(49,770) x common factors =7 x 1 = 7

LCM(49,770) = ( 49 × 770 ) / 7

LCM(49,770) = 37730 / 7

LCM(49,770) = 5390


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 9784/49, 5881/770

1. 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.

2. What is the GCF of Fractions for 9784/49, 5881/770?

Answer: GCF of Numerators as per given numbers 9784/49, 5881/770 is

GCF of Numerators i.e. for 9784,5881 is 1

LCM of denominators i.e. for 49,770 is 5390.

Thus, GCF of Fractions is 1/5390.Finally, GCF of Fractions for 9784/49, 5881/770 is 1/5390.