How to Find GCF of 77/390, 422/986, 474/671?

GCF of 77/390, 422/986, 474/671

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 77/390, 422/986, 474/671 i.e 1/129013170 easily. The following is the detailed procedure to determine the greatest common factor of fractions 77/390, 422/986, 474/671.

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 77/390,422/986,474/671?

Given fractions are 77/390,422/986,474/671

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 77/390,422/986,474/671, numerators are 77,422,474

Denominators are 390,986,671

The GCF of 77,422,474 is 1 .

LCM of 390,986,671 is 129013170.

The greatest common factor of 77/390,422/986,474/671 = [GCF of 77,422,474]/[LCM of 390,986,671]= 1/129013170

Therefore, the GCF of 77/390,422/986,474/671 is 1/129013170.

Greatest Common Factor of 77,422,474

To find the highest common factor of 77,422,474, we have to find the factors of both numbers and list the highest common factor.

The factors of 77 are 1, 7, 11, 77

The factors of 422 are 1, 2, 211, 422

The factors of 474 are 1, 2, 3, 6, 79, 158, 237, 474

The HCF of 77,422,474 is 1.

Lets's calculate GCF of 77,422,474

Greatest Common Factor (GCF) of 77,422,474 By Common Division

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

Greatest Common Factor of 77,422,474 By Matching Biggest Common Factor Method

Now, list down the factors of 77

1,7,11,77

Now, list down the factors of 422

1,2,211,422

Now, list down the factors of 474

1,2,3,6,79,158,237,474

Greatest Common Factor

We found the factors 77,422,474 . The biggest common factor number is the GCF number.
So the greatest common factor 77,422,474 is 1.

Lets's calculate LCM of 390,986,671

Lowest Common Multiple of 390,986,671 using Common Division

2	390, 986, 671
	195, 493, 671

∴ So the LCM of the given numbers is 2 x 195 x 493 x 671 = 129013170

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/129013170

Therefore, the GCF of Fractions 77/390,422/986,474/671 is 1/129013170

Least Common Multiple of 390,986,671 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 390,986,671 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(390,986,671) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(390,986,671) x common factors =1 x 2 = 2

LCM(390,986,671) = ( 390 × 986 × 671 ) / 2

LCM(390,986,671) = 258026340 / 2

LCM(390,986,671) = 129013170

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 77/390, 422/986, 474/671

1. What is the HCF of 77,422,474?

The HCF of 77,422,474 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 77/390, 422/986, 474/671?

Answer: GCF of Numerators as per given numbers 77/390, 422/986, 474/671 is

GCF of Numerators i.e. for 77,422,474 is 1

LCM of denominators i.e. for 390,986,671 is 129013170.

Thus, GCF of Fractions is 1/129013170.Finally, GCF of Fractions for 77/390, 422/986, 474/671 is 1/129013170.