How to Find GCF of 90/748, 5546/1419?

GCF of 90/748, 5546/1419

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 90/748, 5546/1419 i.e 2/96492 easily. The following is the detailed procedure to determine the greatest common factor of fractions 90/748, 5546/1419.

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 90/748,5546/1419?

Given fractions are 90/748,5546/1419

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 90/748,5546/1419, numerators are 90,5546

Denominators are 748,1419

The GCF of 90,5546 is 2 .

LCM of 748,1419 is 96492.

The greatest common factor of 90/748,5546/1419 = [GCF of 90,5546]/[LCM of 748,1419]= 2/96492

Therefore, the GCF of 90/748,5546/1419 is 2/96492.

Greatest Common Factor of 90,5546

To find the highest common factor of 90,5546, 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 5546 are 1, 2, 47, 59, 94, 118, 2773, 5546

The HCF of 90,5546 is 2.

Lets's calculate GCF of 90,5546

Greatest Common Factor (GCF) of 90,5546 By Common Division

2	90, 5546
	45, 2773

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 90,5546 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 5546

1,2,47,59,94,118,2773,5546

Greatest Common Factor

We found the factors 90,5546 . The biggest common factor number is the GCF number.
So the greatest common factor 90,5546 is 2.

Lets's calculate LCM of 748,1419

Lowest Common Multiple of 748,1419 using Common Division

11	748, 1419
	68, 129

∴ So the LCM of the given numbers is 11 x 68 x 129 = 96492

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/96492

Therefore, the GCF of Fractions 90/748,5546/1419 is 2/96492

Least Common Multiple of 748,1419 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 748,1419 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(748,1419) = 11

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

GCF(748,1419) x common factors =11 x 1 = 11

LCM(748,1419) = ( 748 × 1419 ) / 11

LCM(748,1419) = 1061412 / 11

LCM(748,1419) = 96492

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FAQs on GCF of Fractions of 90/748, 5546/1419

1. What is the HCF of 90,5546?

The HCF of 90,5546 is 2

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 90/748, 5546/1419?

Answer: GCF of Numerators as per given numbers 90/748, 5546/1419 is

GCF of Numerators i.e. for 90,5546 is 2

LCM of denominators i.e. for 748,1419 is 96492.

Thus, GCF of Fractions is 2/96492.Finally, GCF of Fractions for 90/748, 5546/1419 is 2/96492.