How to Find GCF of 847/78, 373/75, 906/76?

GCF of 847/78, 373/75, 906/76

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 847/78, 373/75, 906/76 i.e 1/74100 easily. The following is the detailed procedure to determine the greatest common factor of fractions 847/78, 373/75, 906/76.

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 847/78,373/75,906/76?

Given fractions are 847/78,373/75,906/76

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 847/78,373/75,906/76, numerators are 847,373,906

Denominators are 78,75,76

The GCF of 847,373,906 is 1 .

LCM of 78,75,76 is 74100.

The greatest common factor of 847/78,373/75,906/76 = [GCF of 847,373,906]/[LCM of 78,75,76]= 1/74100

Therefore, the GCF of 847/78,373/75,906/76 is 1/74100.

Greatest Common Factor of 847,373,906

To find the highest common factor of 847,373,906, we have to find the factors of both numbers and list the highest common factor.

The factors of 847 are 1, 7, 11, 77, 121, 847

The factors of 373 are 1, 373

The factors of 906 are 1, 2, 3, 6, 151, 302, 453, 906

The HCF of 847,373,906 is 1.

Lets's calculate GCF of 847,373,906

Greatest Common Factor (GCF) of 847,373,906 By Common Division

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

Greatest Common Factor of 847,373,906 By Matching Biggest Common Factor Method

Now, list down the factors of 847

1,7,11,77,121,847

Now, list down the factors of 373

1,373

Now, list down the factors of 906

1,2,3,6,151,302,453,906

Greatest Common Factor

We found the factors 847,373,906 . The biggest common factor number is the GCF number.
So the greatest common factor 847,373,906 is 1.

Lets's calculate LCM of 78,75,76

Lowest Common Multiple of 78,75,76 using Common Division

2	78, 75, 76
3	39, 75, 38
	13, 25, 38

∴ So the LCM of the given numbers is 2 x 3 x 13 x 25 x 38 = 74100

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/74100

Therefore, the GCF of Fractions 847/78,373/75,906/76 is 1/74100

Least Common Multiple of 78,75,76 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 78,75,76 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,75,76) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(78,75,76) x common factors =1 x 6 = 6

LCM(78,75,76) = ( 78 × 75 × 76 ) / 6

LCM(78,75,76) = 444600 / 6

LCM(78,75,76) = 74100

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 847/78, 373/75, 906/76

1. What is the HCF of 847,373,906?

The HCF of 847,373,906 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 847/78, 373/75, 906/76?

Answer: GCF of Numerators as per given numbers 847/78, 373/75, 906/76 is

GCF of Numerators i.e. for 847,373,906 is 1

LCM of denominators i.e. for 78,75,76 is 74100.

Thus, GCF of Fractions is 1/74100.Finally, GCF of Fractions for 847/78, 373/75, 906/76 is 1/74100.