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GCF of 9774/981, 6778/123

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 9774/981, 6778/123 i.e 2/40221 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9774/981, 6778/123.

Enter two or more fractions separated by "commas"

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

GCF of:

What is the GCF of 9774/981,6778/123?

Given fractions are 9774/981,6778/123

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 9774/981,6778/123, numerators are 9774,6778

Denominators are 981,123

The GCF of 9774,6778 is 2 .

LCM of 981,123 is 40221.

The greatest common factor of 9774/981,6778/123 = [GCF of 9774,6778]/[LCM of 981,123]= 2/40221

Therefore, the GCF of 9774/981,6778/123 is 2/40221.

Greatest Common Factor of 9774,6778

To find the highest common factor of 9774,6778, we have to find the factors of both numbers and list the highest common factor.

The factors of 9774 are 1, 2, 3, 6, 9, 18, 27, 54, 181, 362, 543, 1086, 1629, 3258, 4887, 9774

The factors of 6778 are 1, 2, 3389, 6778

The HCF of 9774,6778 is 2.

Lets's calculate GCF of 9774,6778

Greatest Common Factor (GCF) of 9774,6778 By Common Division

2 9774, 6778
4887, 3389

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 9774,6778 By Matching Biggest Common Factor Method

Greatest Common Factor of 9774,6778 By Matching Biggest Common Factor Method

Now, list down the factors of 9774

:

1,2,3,6,9,18,27,54,181,362,543,1086,1629,3258,4887,9774

Now, list down the factors of 6778

:

1,2,3389,6778

Greatest Common Factor

We found the factors 9774,6778 . The biggest common factor number is the GCF number.
So the greatest common factor 9774,6778 is 2.


Lets's calculate LCM of 981,123

Lowest Common Multiple of 981,123 using Common Division

3 981, 123
327, 41

∴ So the LCM of the given numbers is 3 x 327 x 41 = 40221

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/40221

Therefore, the GCF of Fractions 9774/981,6778/123 is 2/40221

Least Common Multiple of 981,123 with GCF Formula

Least Common Multiple of 981,123 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 981,123 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(981,123) = 3

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

GCF(981,123) x common factors =3 x 1 = 3

LCM(981,123) = ( 981 × 123 ) / 3

LCM(981,123) = 120663 / 3

LCM(981,123) = 40221


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 9774/981, 6778/123

1. What is the HCF of 9774,6778?

The HCF of 9774,6778 is 2

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 9774/981, 6778/123?

Answer: GCF of Numerators as per given numbers 9774/981, 6778/123 is

GCF of Numerators i.e. for 9774,6778 is 2

LCM of denominators i.e. for 981,123 is 40221.

Thus, GCF of Fractions is 2/40221.Finally, GCF of Fractions for 9774/981, 6778/123 is 2/40221.