How to Find GCF of 6770/588, 7949/5678?

GCF of 6770/588, 7949/5678

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 6770/588, 7949/5678 i.e 1/1669332 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6770/588, 7949/5678.

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 6770/588,7949/5678?

Given fractions are 6770/588,7949/5678

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 6770/588,7949/5678, numerators are 6770,7949

Denominators are 588,5678

The GCF of 6770,7949 is 1 .

LCM of 588,5678 is 1669332.

The greatest common factor of 6770/588,7949/5678 = [GCF of 6770,7949]/[LCM of 588,5678]= 1/1669332

Therefore, the GCF of 6770/588,7949/5678 is 1/1669332.

Greatest Common Factor of 6770,7949

To find the highest common factor of 6770,7949, we have to find the factors of both numbers and list the highest common factor.

The factors of 6770 are 1, 2, 5, 10, 677, 1354, 3385, 6770

The factors of 7949 are 1, 7949

The HCF of 6770,7949 is 1.

Lets's calculate GCF of 6770,7949

Greatest Common Factor (GCF) of 6770,7949 By Common Division

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

Greatest Common Factor of 6770,7949 By Matching Biggest Common Factor Method

Now, list down the factors of 6770

1,2,5,10,677,1354,3385,6770

Now, list down the factors of 7949

1,7949

Greatest Common Factor

We found the factors 6770,7949 . The biggest common factor number is the GCF number.
So the greatest common factor 6770,7949 is 1.

Lets's calculate LCM of 588,5678

Lowest Common Multiple of 588,5678 using Common Division

2	588, 5678
	294, 2839

∴ So the LCM of the given numbers is 2 x 294 x 2839 = 1669332

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1669332

Therefore, the GCF of Fractions 6770/588,7949/5678 is 1/1669332

Least Common Multiple of 588,5678 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 588,5678 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(588,5678) = 2

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

GCF(588,5678) x common factors =2 x 1 = 2

LCM(588,5678) = ( 588 × 5678 ) / 2

LCM(588,5678) = 3338664 / 2

LCM(588,5678) = 1669332

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FAQs on GCF of Fractions of 6770/588, 7949/5678

1. What is the HCF of 6770,7949?

The HCF of 6770,7949 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 6770/588, 7949/5678?

Answer: GCF of Numerators as per given numbers 6770/588, 7949/5678 is

GCF of Numerators i.e. for 6770,7949 is 1

LCM of denominators i.e. for 588,5678 is 1669332.

Thus, GCF of Fractions is 1/1669332.Finally, GCF of Fractions for 6770/588, 7949/5678 is 1/1669332.