How to Find GCF of 2364/212, 9716/865?

GCF of 2364/212, 9716/865

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 2364/212, 9716/865 i.e 4/183380 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2364/212, 9716/865.

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 2364/212,9716/865?

Given fractions are 2364/212,9716/865

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 2364/212,9716/865, numerators are 2364,9716

Denominators are 212,865

The GCF of 2364,9716 is 4 .

LCM of 212,865 is 183380.

The greatest common factor of 2364/212,9716/865 = [GCF of 2364,9716]/[LCM of 212,865]= 4/183380

Therefore, the GCF of 2364/212,9716/865 is 4/183380.

Greatest Common Factor of 2364,9716

To find the highest common factor of 2364,9716, we have to find the factors of both numbers and list the highest common factor.

The factors of 2364 are 1, 2, 3, 4, 6, 12, 197, 394, 591, 788, 1182, 2364

The factors of 9716 are 1, 2, 4, 7, 14, 28, 347, 694, 1388, 2429, 4858, 9716

The HCF of 2364,9716 is 4.

Lets's calculate GCF of 2364,9716

Greatest Common Factor (GCF) of 2364,9716 By Common Division

2	2364, 9716
2	1182, 4858
	591, 2429

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

Greatest Common Factor of 2364,9716 By Matching Biggest Common Factor Method

Now, list down the factors of 2364

1,2,3,4,6,12,197,394,591,788,1182,2364

Now, list down the factors of 9716

1,2,4,7,14,28,347,694,1388,2429,4858,9716

Greatest Common Factor

We found the factors 2364,9716 . The biggest common factor number is the GCF number.
So the greatest common factor 2364,9716 is 4.

Lets's calculate LCM of 212,865

Lowest Common Multiple of 212,865 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 183380

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/183380

Therefore, the GCF of Fractions 2364/212,9716/865 is 4/183380

Least Common Multiple of 212,865 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 212,865 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(212,865) = 1

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

GCF(212,865) x common factors =1 x 1 = 1

LCM(212,865) = ( 212 × 865 ) / 1

LCM(212,865) = 183380 / 1

LCM(212,865) = 183380

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FAQs on GCF of Fractions of 2364/212, 9716/865

1. What is the HCF of 2364,9716?

The HCF of 2364,9716 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 2364/212, 9716/865?

Answer: GCF of Numerators as per given numbers 2364/212, 9716/865 is

GCF of Numerators i.e. for 2364,9716 is 4

LCM of denominators i.e. for 212,865 is 183380.

Thus, GCF of Fractions is 4/183380.Finally, GCF of Fractions for 2364/212, 9716/865 is 4/183380.