How to Find GCF of 6686/930, 7901/4770?

GCF of 6686/930, 7901/4770

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 6686/930, 7901/4770 i.e 1/147870 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6686/930, 7901/4770.

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 6686/930,7901/4770?

Given fractions are 6686/930,7901/4770

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 6686/930,7901/4770, numerators are 6686,7901

Denominators are 930,4770

The GCF of 6686,7901 is 1 .

LCM of 930,4770 is 147870.

The greatest common factor of 6686/930,7901/4770 = [GCF of 6686,7901]/[LCM of 930,4770]= 1/147870

Therefore, the GCF of 6686/930,7901/4770 is 1/147870.

Greatest Common Factor of 6686,7901

To find the highest common factor of 6686,7901, we have to find the factors of both numbers and list the highest common factor.

The factors of 6686 are 1, 2, 3343, 6686

The factors of 7901 are 1, 7901

The HCF of 6686,7901 is 1.

Lets's calculate GCF of 6686,7901

Greatest Common Factor (GCF) of 6686,7901 By Common Division

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

Greatest Common Factor of 6686,7901 By Matching Biggest Common Factor Method

Now, list down the factors of 6686

1,2,3343,6686

Now, list down the factors of 7901

1,7901

Greatest Common Factor

We found the factors 6686,7901 . The biggest common factor number is the GCF number.
So the greatest common factor 6686,7901 is 1.

Lets's calculate LCM of 930,4770

Lowest Common Multiple of 930,4770 using Common Division

2	930, 4770
3	465, 2385
5	155, 795
	31, 159

∴ So the LCM of the given numbers is 2 x 3 x 5 x 31 x 159 = 147870

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/147870

Therefore, the GCF of Fractions 6686/930,7901/4770 is 1/147870

Least Common Multiple of 930,4770 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 930,4770 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(930,4770) = 30

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

GCF(930,4770) x common factors =30 x 1 = 30

LCM(930,4770) = ( 930 × 4770 ) / 30

LCM(930,4770) = 4436100 / 30

LCM(930,4770) = 147870

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FAQs on GCF of Fractions of 6686/930, 7901/4770

1. What is the HCF of 6686,7901?

The HCF of 6686,7901 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 6686/930, 7901/4770?

Answer: GCF of Numerators as per given numbers 6686/930, 7901/4770 is

GCF of Numerators i.e. for 6686,7901 is 1

LCM of denominators i.e. for 930,4770 is 147870.

Thus, GCF of Fractions is 1/147870.Finally, GCF of Fractions for 6686/930, 7901/4770 is 1/147870.