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GCF of 550/83, 375/458

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 550/83, 375/458 i.e 25/38014 easily. The following is the detailed procedure to determine the greatest common factor of fractions 550/83, 375/458.

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 550/83,375/458?

Given fractions are 550/83,375/458

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 550/83,375/458, numerators are 550,375

Denominators are 83,458

The GCF of 550,375 is 25 .

LCM of 83,458 is 38014.

The greatest common factor of 550/83,375/458 = [GCF of 550,375]/[LCM of 83,458]= 25/38014

Therefore, the GCF of 550/83,375/458 is 25/38014.

Greatest Common Factor of 550,375

To find the highest common factor of 550,375, we have to find the factors of both numbers and list the highest common factor.

The factors of 550 are 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

The factors of 375 are 1, 3, 5, 15, 25, 75, 125, 375

The HCF of 550,375 is 25.

Lets's calculate GCF of 550,375

Greatest Common Factor (GCF) of 550,375 By Common Division

5 550, 375
5 110, 75
22, 15

∴ So the GCF of the given numbers is 5 x 5 = 25

Greatest Common Factor of 550,375 By Matching Biggest Common Factor Method

Greatest Common Factor of 550,375 By Matching Biggest Common Factor Method

Now, list down the factors of 550

:

1,2,5,10,11,22,25,50,55,110,275,550

Now, list down the factors of 375

:

1,3,5,15,25,75,125,375

Greatest Common Factor

We found the factors 550,375 . The biggest common factor number is the GCF number.
So the greatest common factor 550,375 is 25.

Lets's calculate LCM of 83,458

Lowest Common Multiple of 83,458 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 38014

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/38014

Therefore, the GCF of Fractions 550/83,375/458 is 25/38014

Least Common Multiple of 83,458 with GCF Formula

Least Common Multiple of 83,458 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 83,458 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,458) = 1

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

GCF(83,458) x common factors =1 x 1 = 1

LCM(83,458) = ( 83 × 458 ) / 1

LCM(83,458) = 38014 / 1

LCM(83,458) = 38014


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FAQs on GCF of Fractions of 550/83, 375/458

1. What is the HCF of 550,375?

The HCF of 550,375 is 25

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 550/83, 375/458?

Answer: GCF of Numerators as per given numbers 550/83, 375/458 is

GCF of Numerators i.e. for 550,375 is 25

LCM of denominators i.e. for 83,458 is 38014.

Thus, GCF of Fractions is 25/38014.Finally, GCF of Fractions for 550/83, 375/458 is 25/38014.