How to Find GCF of 77/802, 470/992, 175/689?

GCF of 77/802, 470/992, 175/689

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 77/802, 470/992, 175/689 i.e 1/274078688 easily. The following is the detailed procedure to determine the greatest common factor of fractions 77/802, 470/992, 175/689.

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 77/802,470/992,175/689?

Given fractions are 77/802,470/992,175/689

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 77/802,470/992,175/689, numerators are 77,470,175

Denominators are 802,992,689

The GCF of 77,470,175 is 1 .

LCM of 802,992,689 is 274078688.

The greatest common factor of 77/802,470/992,175/689 = [GCF of 77,470,175]/[LCM of 802,992,689]= 1/274078688

Therefore, the GCF of 77/802,470/992,175/689 is 1/274078688.

Greatest Common Factor of 77,470,175

To find the highest common factor of 77,470,175, 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 470 are 1, 2, 5, 10, 47, 94, 235, 470

The factors of 175 are 1, 5, 7, 25, 35, 175

The HCF of 77,470,175 is 1.

Lets's calculate GCF of 77,470,175

Greatest Common Factor (GCF) of 77,470,175 By Common Division

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

Greatest Common Factor of 77,470,175 By Matching Biggest Common Factor Method

Now, list down the factors of 77

1,7,11,77

Now, list down the factors of 470

1,2,5,10,47,94,235,470

Now, list down the factors of 175

1,5,7,25,35,175

Greatest Common Factor

We found the factors 77,470,175 . The biggest common factor number is the GCF number.
So the greatest common factor 77,470,175 is 1.

Lets's calculate LCM of 802,992,689

Lowest Common Multiple of 802,992,689 using Common Division

2	802, 992, 689
	401, 496, 689

∴ So the LCM of the given numbers is 2 x 401 x 496 x 689 = 274078688

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/274078688

Therefore, the GCF of Fractions 77/802,470/992,175/689 is 1/274078688

Least Common Multiple of 802,992,689 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 802,992,689 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(802,992,689) = 1

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

GCF(802,992,689) x common factors =1 x 2 = 2

LCM(802,992,689) = ( 802 × 992 × 689 ) / 2

LCM(802,992,689) = 548157376 / 2

LCM(802,992,689) = 274078688

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 77/802, 470/992, 175/689

1. What is the HCF of 77,470,175?

The HCF of 77,470,175 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 77/802, 470/992, 175/689?

Answer: GCF of Numerators as per given numbers 77/802, 470/992, 175/689 is

GCF of Numerators i.e. for 77,470,175 is 1

LCM of denominators i.e. for 802,992,689 is 274078688.

Thus, GCF of Fractions is 1/274078688.Finally, GCF of Fractions for 77/802, 470/992, 175/689 is 1/274078688.