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GCF of 7948/756, 1069/1066

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 7948/756, 1069/1066 i.e 1/402948 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7948/756, 1069/1066.

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 7948/756,1069/1066?

Given fractions are 7948/756,1069/1066

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 7948/756,1069/1066, numerators are 7948,1069

Denominators are 756,1066

The GCF of 7948,1069 is 1 .

LCM of 756,1066 is 402948.

The greatest common factor of 7948/756,1069/1066 = [GCF of 7948,1069]/[LCM of 756,1066]= 1/402948

Therefore, the GCF of 7948/756,1069/1066 is 1/402948.

Greatest Common Factor of 7948,1069

To find the highest common factor of 7948,1069, we have to find the factors of both numbers and list the highest common factor.

The factors of 7948 are 1, 2, 4, 1987, 3974, 7948

The factors of 1069 are 1, 1069

The HCF of 7948,1069 is 1.

Lets's calculate GCF of 7948,1069

Greatest Common Factor (GCF) of 7948,1069 By Common Division

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

Greatest Common Factor of 7948,1069 By Matching Biggest Common Factor Method

Greatest Common Factor of 7948,1069 By Matching Biggest Common Factor Method

Now, list down the factors of 7948

:

1,2,4,1987,3974,7948

Now, list down the factors of 1069

:

1,1069

Greatest Common Factor

We found the factors 7948,1069 . The biggest common factor number is the GCF number.
So the greatest common factor 7948,1069 is 1.

Lets's calculate LCM of 756,1066

Lowest Common Multiple of 756,1066 using Common Division

2 756, 1066
378, 533

∴ So the LCM of the given numbers is 2 x 378 x 533 = 402948

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/402948

Therefore, the GCF of Fractions 7948/756,1069/1066 is 1/402948

Least Common Multiple of 756,1066 with GCF Formula

Least Common Multiple of 756,1066 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 756,1066 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(756,1066) = 2

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

GCF(756,1066) x common factors =2 x 1 = 2

LCM(756,1066) = ( 756 × 1066 ) / 2

LCM(756,1066) = 805896 / 2

LCM(756,1066) = 402948


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FAQs on GCF of Fractions of 7948/756, 1069/1066

1. What is the HCF of 7948,1069?

The HCF of 7948,1069 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 7948/756, 1069/1066?

Answer: GCF of Numerators as per given numbers 7948/756, 1069/1066 is

GCF of Numerators i.e. for 7948,1069 is 1

LCM of denominators i.e. for 756,1066 is 402948.

Thus, GCF of Fractions is 1/402948.Finally, GCF of Fractions for 7948/756, 1069/1066 is 1/402948.