How to Find GCF of 78/962, 235/687, 856/820?

GCF of 78/962, 235/687, 856/820

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 78/962, 235/687, 856/820 i.e 1/270966540 easily. The following is the detailed procedure to determine the greatest common factor of fractions 78/962, 235/687, 856/820.

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 78/962,235/687,856/820?

Given fractions are 78/962,235/687,856/820

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 78/962,235/687,856/820, numerators are 78,235,856

Denominators are 962,687,820

The GCF of 78,235,856 is 1 .

LCM of 962,687,820 is 270966540.

The greatest common factor of 78/962,235/687,856/820 = [GCF of 78,235,856]/[LCM of 962,687,820]= 1/270966540

Therefore, the GCF of 78/962,235/687,856/820 is 1/270966540.

Greatest Common Factor of 78,235,856

To find the highest common factor of 78,235,856, we have to find the factors of both numbers and list the highest common factor.

The factors of 78 are 1, 2, 3, 6, 13, 26, 39, 78

The factors of 235 are 1, 5, 47, 235

The factors of 856 are 1, 2, 4, 8, 107, 214, 428, 856

The HCF of 78,235,856 is 1.

Lets's calculate GCF of 78,235,856

Greatest Common Factor (GCF) of 78,235,856 By Common Division

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

Greatest Common Factor of 78,235,856 By Matching Biggest Common Factor Method

Now, list down the factors of 78

1,2,3,6,13,26,39,78

Now, list down the factors of 235

1,5,47,235

Now, list down the factors of 856

1,2,4,8,107,214,428,856

Greatest Common Factor

We found the factors 78,235,856 . The biggest common factor number is the GCF number.
So the greatest common factor 78,235,856 is 1.

Lets's calculate LCM of 962,687,820

Lowest Common Multiple of 962,687,820 using Common Division

2	962, 687, 820
	481, 687, 410

∴ So the LCM of the given numbers is 2 x 481 x 687 x 410 = 270966540

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/270966540

Therefore, the GCF of Fractions 78/962,235/687,856/820 is 1/270966540

Least Common Multiple of 962,687,820 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 962,687,820 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(962,687,820) = 1

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

GCF(962,687,820) x common factors =1 x 2 = 2

LCM(962,687,820) = ( 962 × 687 × 820 ) / 2

LCM(962,687,820) = 541933080 / 2

LCM(962,687,820) = 270966540

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 78/962, 235/687, 856/820

1. What is the HCF of 78,235,856?

The HCF of 78,235,856 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 78/962, 235/687, 856/820?

Answer: GCF of Numerators as per given numbers 78/962, 235/687, 856/820 is

GCF of Numerators i.e. for 78,235,856 is 1

LCM of denominators i.e. for 962,687,820 is 270966540.

Thus, GCF of Fractions is 1/270966540.Finally, GCF of Fractions for 78/962, 235/687, 856/820 is 1/270966540.