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GCF of 37/145, 1142/6200

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 37/145, 1142/6200 i.e 1/179800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 37/145, 1142/6200.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 37/145,1142/6200?

Given fractions are 37/145,1142/6200

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 37/145,1142/6200, numerators are 37,1142

Denominators are 145,6200

The GCF of 37,1142 is 1 .

LCM of 145,6200 is 179800.

The greatest common factor of 37/145,1142/6200 = [GCF of 37,1142]/[LCM of 145,6200]= 1/179800

Therefore, the GCF of 37/145,1142/6200 is 1/179800.

Greatest Common Factor of 37,1142

To find the highest common factor of 37,1142, we have to find the factors of both numbers and list the highest common factor.

The factors of 37 are 1, 37

The factors of 1142 are 1, 2, 571, 1142

The HCF of 37,1142 is 1.

Lets's calculate GCF of 37,1142

Greatest Common Factor (GCF) of 37,1142 By Common Division

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

Greatest Common Factor of 37,1142 By Matching Biggest Common Factor Method

Greatest Common Factor of 37,1142 By Matching Biggest Common Factor Method

Now, list down the factors of 37

:

1,37

Now, list down the factors of 1142

:

1,2,571,1142

Greatest Common Factor

We found the factors 37,1142 . The biggest common factor number is the GCF number.
So the greatest common factor 37,1142 is 1.

Lets's calculate LCM of 145,6200

Lowest Common Multiple of 145,6200 using Common Division

5 145, 6200
29, 1240

∴ So the LCM of the given numbers is 5 x 29 x 1240 = 179800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/179800

Therefore, the GCF of Fractions 37/145,1142/6200 is 1/179800

Least Common Multiple of 145,6200 with GCF Formula

Least Common Multiple of 145,6200 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 145,6200 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(145,6200) = 5

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

GCF(145,6200) x common factors =5 x 1 = 5

LCM(145,6200) = ( 145 × 6200 ) / 5

LCM(145,6200) = 899000 / 5

LCM(145,6200) = 179800


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FAQs on GCF of Fractions of 37/145, 1142/6200

1. What is the HCF of 37,1142?

The HCF of 37,1142 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 37/145, 1142/6200?

Answer: GCF of Numerators as per given numbers 37/145, 1142/6200 is

GCF of Numerators i.e. for 37,1142 is 1

LCM of denominators i.e. for 145,6200 is 179800.

Thus, GCF of Fractions is 1/179800.Finally, GCF of Fractions for 37/145, 1142/6200 is 1/179800.