How to Find GCF of 7237/388, 5970/300?

GCF of 7237/388, 5970/300

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 7237/388, 5970/300 i.e 1/29100 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7237/388, 5970/300.

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 7237/388,5970/300?

Given fractions are 7237/388,5970/300

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 7237/388,5970/300, numerators are 7237,5970

Denominators are 388,300

The GCF of 7237,5970 is 1 .

LCM of 388,300 is 29100.

The greatest common factor of 7237/388,5970/300 = [GCF of 7237,5970]/[LCM of 388,300]= 1/29100

Therefore, the GCF of 7237/388,5970/300 is 1/29100.

Greatest Common Factor of 7237,5970

To find the highest common factor of 7237,5970, we have to find the factors of both numbers and list the highest common factor.

The factors of 7237 are 1, 7237

The factors of 5970 are 1, 2, 3, 5, 6, 10, 15, 30, 199, 398, 597, 995, 1194, 1990, 2985, 5970

The HCF of 7237,5970 is 1.

Lets's calculate GCF of 7237,5970

Greatest Common Factor (GCF) of 7237,5970 By Common Division

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

Greatest Common Factor of 7237,5970 By Matching Biggest Common Factor Method

Now, list down the factors of 7237

1,7237

Now, list down the factors of 5970

1,2,3,5,6,10,15,30,199,398,597,995,1194,1990,2985,5970

Greatest Common Factor

We found the factors 7237,5970 . The biggest common factor number is the GCF number.
So the greatest common factor 7237,5970 is 1.

Lets's calculate LCM of 388,300

Lowest Common Multiple of 388,300 using Common Division

2	388, 300
2	194, 150
	97, 75

∴ So the LCM of the given numbers is 2 x 2 x 97 x 75 = 29100

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29100

Therefore, the GCF of Fractions 7237/388,5970/300 is 1/29100

Least Common Multiple of 388,300 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 388,300 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(388,300) = 4

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

GCF(388,300) x common factors =4 x 1 = 4

LCM(388,300) = ( 388 × 300 ) / 4

LCM(388,300) = 116400 / 4

LCM(388,300) = 29100

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FAQs on GCF of Fractions of 7237/388, 5970/300

1. What is the HCF of 7237,5970?

The HCF of 7237,5970 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 7237/388, 5970/300?

Answer: GCF of Numerators as per given numbers 7237/388, 5970/300 is

GCF of Numerators i.e. for 7237,5970 is 1

LCM of denominators i.e. for 388,300 is 29100.

Thus, GCF of Fractions is 1/29100.Finally, GCF of Fractions for 7237/388, 5970/300 is 1/29100.