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GCF of 7199/60, 4174/352

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 7199/60, 4174/352 i.e 1/5280 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7199/60, 4174/352.

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 7199/60,4174/352?

Given fractions are 7199/60,4174/352

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 7199/60,4174/352, numerators are 7199,4174

Denominators are 60,352

The GCF of 7199,4174 is 1 .

LCM of 60,352 is 5280.

The greatest common factor of 7199/60,4174/352 = [GCF of 7199,4174]/[LCM of 60,352]= 1/5280

Therefore, the GCF of 7199/60,4174/352 is 1/5280.

Greatest Common Factor of 7199,4174

To find the highest common factor of 7199,4174, we have to find the factors of both numbers and list the highest common factor.

The factors of 7199 are 1, 23, 313, 7199

The factors of 4174 are 1, 2, 2087, 4174

The HCF of 7199,4174 is 1.

Lets's calculate GCF of 7199,4174

Greatest Common Factor (GCF) of 7199,4174 By Common Division

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

Greatest Common Factor of 7199,4174 By Matching Biggest Common Factor Method

Greatest Common Factor of 7199,4174 By Matching Biggest Common Factor Method

Now, list down the factors of 7199

:

1,23,313,7199

Now, list down the factors of 4174

:

1,2,2087,4174

Greatest Common Factor

We found the factors 7199,4174 . The biggest common factor number is the GCF number.
So the greatest common factor 7199,4174 is 1.

Lets's calculate LCM of 60,352

Lowest Common Multiple of 60,352 using Common Division

2 60, 352
2 30, 176
15, 88

∴ So the LCM of the given numbers is 2 x 2 x 15 x 88 = 5280

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5280

Therefore, the GCF of Fractions 7199/60,4174/352 is 1/5280

Least Common Multiple of 60,352 with GCF Formula

Least Common Multiple of 60,352 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 60,352 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,352) = 4

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

GCF(60,352) x common factors =4 x 1 = 4

LCM(60,352) = ( 60 × 352 ) / 4

LCM(60,352) = 21120 / 4

LCM(60,352) = 5280


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FAQs on GCF of Fractions of 7199/60, 4174/352

1. What is the HCF of 7199,4174?

The HCF of 7199,4174 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 7199/60, 4174/352?

Answer: GCF of Numerators as per given numbers 7199/60, 4174/352 is

GCF of Numerators i.e. for 7199,4174 is 1

LCM of denominators i.e. for 60,352 is 5280.

Thus, GCF of Fractions is 1/5280.Finally, GCF of Fractions for 7199/60, 4174/352 is 1/5280.