How to Find GCF of 7212/997, 3808/972?

GCF of 7212/997, 3808/972

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 7212/997, 3808/972 i.e 4/969084 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7212/997, 3808/972.

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 7212/997,3808/972?

Given fractions are 7212/997,3808/972

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 7212/997,3808/972, numerators are 7212,3808

Denominators are 997,972

The GCF of 7212,3808 is 4 .

LCM of 997,972 is 969084.

The greatest common factor of 7212/997,3808/972 = [GCF of 7212,3808]/[LCM of 997,972]= 4/969084

Therefore, the GCF of 7212/997,3808/972 is 4/969084.

Greatest Common Factor of 7212,3808

To find the highest common factor of 7212,3808, we have to find the factors of both numbers and list the highest common factor.

The factors of 7212 are 1, 2, 3, 4, 6, 12, 601, 1202, 1803, 2404, 3606, 7212

The factors of 3808 are 1, 2, 4, 7, 8, 14, 16, 17, 28, 32, 34, 56, 68, 112, 119, 136, 224, 238, 272, 476, 544, 952, 1904, 3808

The HCF of 7212,3808 is 4.

Lets's calculate GCF of 7212,3808

Greatest Common Factor (GCF) of 7212,3808 By Common Division

2	7212, 3808
2	3606, 1904
	1803, 952

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

Greatest Common Factor of 7212,3808 By Matching Biggest Common Factor Method

Now, list down the factors of 7212

1,2,3,4,6,12,601,1202,1803,2404,3606,7212

Now, list down the factors of 3808

1,2,4,7,8,14,16,17,28,32,34,56,68,112,119,136,224,238,272,476,544,952,1904,3808

Greatest Common Factor

We found the factors 7212,3808 . The biggest common factor number is the GCF number.
So the greatest common factor 7212,3808 is 4.

Lets's calculate LCM of 997,972

Lowest Common Multiple of 997,972 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 969084

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/969084

Therefore, the GCF of Fractions 7212/997,3808/972 is 4/969084

Least Common Multiple of 997,972 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 997,972 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(997,972) = 1

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

GCF(997,972) x common factors =1 x 1 = 1

LCM(997,972) = ( 997 × 972 ) / 1

LCM(997,972) = 969084 / 1

LCM(997,972) = 969084

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FAQs on GCF of Fractions of 7212/997, 3808/972

1. What is the HCF of 7212,3808?

The HCF of 7212,3808 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 7212/997, 3808/972?

Answer: GCF of Numerators as per given numbers 7212/997, 3808/972 is

GCF of Numerators i.e. for 7212,3808 is 4

LCM of denominators i.e. for 997,972 is 969084.

Thus, GCF of Fractions is 4/969084.Finally, GCF of Fractions for 7212/997, 3808/972 is 4/969084.