How to Find GCF of 80/375, 778/712, 971/575?

GCF of 80/375, 778/712, 971/575

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 80/375, 778/712, 971/575 i.e 1/6141000 easily. The following is the detailed procedure to determine the greatest common factor of fractions 80/375, 778/712, 971/575.

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 80/375,778/712,971/575?

Given fractions are 80/375,778/712,971/575

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 80/375,778/712,971/575, numerators are 80,778,971

Denominators are 375,712,575

The GCF of 80,778,971 is 1 .

LCM of 375,712,575 is 6141000.

The greatest common factor of 80/375,778/712,971/575 = [GCF of 80,778,971]/[LCM of 375,712,575]= 1/6141000

Therefore, the GCF of 80/375,778/712,971/575 is 1/6141000.

Greatest Common Factor of 80,778,971

To find the highest common factor of 80,778,971, we have to find the factors of both numbers and list the highest common factor.

The factors of 80 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

The factors of 778 are 1, 2, 389, 778

The factors of 971 are 1, 971

The HCF of 80,778,971 is 1.

Lets's calculate GCF of 80,778,971

Greatest Common Factor (GCF) of 80,778,971 By Common Division

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

Greatest Common Factor of 80,778,971 By Matching Biggest Common Factor Method

Now, list down the factors of 80

1,2,4,5,8,10,16,20,40,80

Now, list down the factors of 778

1,2,389,778

Now, list down the factors of 971

1,971

Greatest Common Factor

We found the factors 80,778,971 . The biggest common factor number is the GCF number.
So the greatest common factor 80,778,971 is 1.

Lets's calculate LCM of 375,712,575

Lowest Common Multiple of 375,712,575 using Common Division

5	375, 712, 575
5	75, 712, 115
	15, 712, 23

∴ So the LCM of the given numbers is 5 x 5 x 15 x 712 x 23 = 6141000

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6141000

Therefore, the GCF of Fractions 80/375,778/712,971/575 is 1/6141000

Least Common Multiple of 375,712,575 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 375,712,575 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(375,712,575) = 1

common factors(in case of two or more numbers have common factors) = 25

GCF(375,712,575) x common factors =1 x 25 = 25

LCM(375,712,575) = ( 375 × 712 × 575 ) / 25

LCM(375,712,575) = 153525000 / 25

LCM(375,712,575) = 6141000

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 80/375, 778/712, 971/575

1. What is the HCF of 80,778,971?

The HCF of 80,778,971 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 80/375, 778/712, 971/575?

Answer: GCF of Numerators as per given numbers 80/375, 778/712, 971/575 is

GCF of Numerators i.e. for 80,778,971 is 1

LCM of denominators i.e. for 375,712,575 is 6141000.

Thus, GCF of Fractions is 1/6141000.Finally, GCF of Fractions for 80/375, 778/712, 971/575 is 1/6141000.