How to Find GCF of 372/78, 836/9684?

GCF of 372/78, 836/9684

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 372/78, 836/9684 i.e 4/125892 easily. The following is the detailed procedure to determine the greatest common factor of fractions 372/78, 836/9684.

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 372/78,836/9684?

Given fractions are 372/78,836/9684

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 372/78,836/9684, numerators are 372,836

Denominators are 78,9684

The GCF of 372,836 is 4 .

LCM of 78,9684 is 125892.

The greatest common factor of 372/78,836/9684 = [GCF of 372,836]/[LCM of 78,9684]= 4/125892

Therefore, the GCF of 372/78,836/9684 is 4/125892.

Greatest Common Factor of 372,836

To find the highest common factor of 372,836, we have to find the factors of both numbers and list the highest common factor.

The factors of 372 are 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

The factors of 836 are 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

The HCF of 372,836 is 4.

Lets's calculate GCF of 372,836

Greatest Common Factor (GCF) of 372,836 By Common Division

2	372, 836
2	186, 418
	93, 209

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 372,836 By Matching Biggest Common Factor Method

Now, list down the factors of 372

1,2,3,4,6,12,31,62,93,124,186,372

Now, list down the factors of 836

1,2,4,11,19,22,38,44,76,209,418,836

Greatest Common Factor

We found the factors 372,836 . The biggest common factor number is the GCF number.
So the greatest common factor 372,836 is 4.

Lets's calculate LCM of 78,9684

Lowest Common Multiple of 78,9684 using Common Division

2	78, 9684
3	39, 4842
	13, 1614

∴ So the LCM of the given numbers is 2 x 3 x 13 x 1614 = 125892

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/125892

Therefore, the GCF of Fractions 372/78,836/9684 is 4/125892

Least Common Multiple of 78,9684 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 78,9684 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,9684) = 6

common factors(in case of two or more numbers have common factors) = 1

GCF(78,9684) x common factors =6 x 1 = 6

LCM(78,9684) = ( 78 × 9684 ) / 6

LCM(78,9684) = 755352 / 6

LCM(78,9684) = 125892

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FAQs on GCF of Fractions of 372/78, 836/9684

1. What is the HCF of 372,836?

The HCF of 372,836 is 4

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 372/78, 836/9684?

Answer: GCF of Numerators as per given numbers 372/78, 836/9684 is

GCF of Numerators i.e. for 372,836 is 4

LCM of denominators i.e. for 78,9684 is 125892.

Thus, GCF of Fractions is 4/125892.Finally, GCF of Fractions for 372/78, 836/9684 is 4/125892.