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GCF of 1036/772, 9778/6438

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 1036/772, 9778/6438 i.e 2/2485068 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1036/772, 9778/6438.

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 1036/772,9778/6438?

Given fractions are 1036/772,9778/6438

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 1036/772,9778/6438, numerators are 1036,9778

Denominators are 772,6438

The GCF of 1036,9778 is 2 .

LCM of 772,6438 is 2485068.

The greatest common factor of 1036/772,9778/6438 = [GCF of 1036,9778]/[LCM of 772,6438]= 2/2485068

Therefore, the GCF of 1036/772,9778/6438 is 2/2485068.

Greatest Common Factor of 1036,9778

To find the highest common factor of 1036,9778, we have to find the factors of both numbers and list the highest common factor.

The factors of 1036 are 1, 2, 4, 7, 14, 28, 37, 74, 148, 259, 518, 1036

The factors of 9778 are 1, 2, 4889, 9778

The HCF of 1036,9778 is 2.

Lets's calculate GCF of 1036,9778

Greatest Common Factor (GCF) of 1036,9778 By Common Division

2 1036, 9778
518, 4889

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

Greatest Common Factor of 1036,9778 By Matching Biggest Common Factor Method

Greatest Common Factor of 1036,9778 By Matching Biggest Common Factor Method

Now, list down the factors of 1036

:

1,2,4,7,14,28,37,74,148,259,518,1036

Now, list down the factors of 9778

:

1,2,4889,9778

Greatest Common Factor

We found the factors 1036,9778 . The biggest common factor number is the GCF number.
So the greatest common factor 1036,9778 is 2.


Lets's calculate LCM of 772,6438

Lowest Common Multiple of 772,6438 using Common Division

2 772, 6438
386, 3219

∴ So the LCM of the given numbers is 2 x 386 x 3219 = 2485068

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2485068

Therefore, the GCF of Fractions 1036/772,9778/6438 is 2/2485068

Least Common Multiple of 772,6438 with GCF Formula

Least Common Multiple of 772,6438 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 772,6438 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(772,6438) = 2

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

GCF(772,6438) x common factors =2 x 1 = 2

LCM(772,6438) = ( 772 × 6438 ) / 2

LCM(772,6438) = 4970136 / 2

LCM(772,6438) = 2485068


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 1036/772, 9778/6438

1. What is the HCF of 1036,9778?

The HCF of 1036,9778 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 1036/772, 9778/6438?

Answer: GCF of Numerators as per given numbers 1036/772, 9778/6438 is

GCF of Numerators i.e. for 1036,9778 is 2

LCM of denominators i.e. for 772,6438 is 2485068.

Thus, GCF of Fractions is 2/2485068.Finally, GCF of Fractions for 1036/772, 9778/6438 is 2/2485068.