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GCF of 90/749, 50/1541

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 90/749, 50/1541 i.e 10/1154209 easily. The following is the detailed procedure to determine the greatest common factor of fractions 90/749, 50/1541.

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 90/749,50/1541?

Given fractions are 90/749,50/1541

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 90/749,50/1541, numerators are 90,50

Denominators are 749,1541

The GCF of 90,50 is 10 .

LCM of 749,1541 is 1154209.

The greatest common factor of 90/749,50/1541 = [GCF of 90,50]/[LCM of 749,1541]= 10/1154209

Therefore, the GCF of 90/749,50/1541 is 10/1154209.

Greatest Common Factor of 90,50

To find the highest common factor of 90,50, we have to find the factors of both numbers and list the highest common factor.

The factors of 90 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

The factors of 50 are 1, 2, 5, 10, 25, 50

The HCF of 90,50 is 10.

Lets's calculate GCF of 90,50

Greatest Common Factor (GCF) of 90,50 By Common Division

2 90, 50
5 45, 25
9, 5

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 90,50 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,50 By Matching Biggest Common Factor Method

Now, list down the factors of 90

:

1,2,3,5,6,9,10,15,18,30,45,90

Now, list down the factors of 50

:

1,2,5,10,25,50

Greatest Common Factor

We found the factors 90,50 . The biggest common factor number is the GCF number.
So the greatest common factor 90,50 is 10.

Lets's calculate LCM of 749,1541

Lowest Common Multiple of 749,1541 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1154209

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/1154209

Therefore, the GCF of Fractions 90/749,50/1541 is 10/1154209

Least Common Multiple of 749,1541 with GCF Formula

Least Common Multiple of 749,1541 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 749,1541 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(749,1541) = 1

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

GCF(749,1541) x common factors =1 x 1 = 1

LCM(749,1541) = ( 749 × 1541 ) / 1

LCM(749,1541) = 1154209 / 1

LCM(749,1541) = 1154209


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FAQs on GCF of Fractions of 90/749, 50/1541

1. What is the HCF of 90,50?

The HCF of 90,50 is 10

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 90/749, 50/1541?

Answer: GCF of Numerators as per given numbers 90/749, 50/1541 is

GCF of Numerators i.e. for 90,50 is 10

LCM of denominators i.e. for 749,1541 is 1154209.

Thus, GCF of Fractions is 10/1154209.Finally, GCF of Fractions for 90/749, 50/1541 is 10/1154209.