How to Find GCF of 1918/542, 4506/765?

GCF of 1918/542, 4506/765

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 1918/542, 4506/765 i.e 2/414630 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1918/542, 4506/765.

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 1918/542,4506/765?

Given fractions are 1918/542,4506/765

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 1918/542,4506/765, numerators are 1918,4506

Denominators are 542,765

The GCF of 1918,4506 is 2 .

LCM of 542,765 is 414630.

The greatest common factor of 1918/542,4506/765 = [GCF of 1918,4506]/[LCM of 542,765]= 2/414630

Therefore, the GCF of 1918/542,4506/765 is 2/414630.

Greatest Common Factor of 1918,4506

To find the highest common factor of 1918,4506, we have to find the factors of both numbers and list the highest common factor.

The factors of 1918 are 1, 2, 7, 14, 137, 274, 959, 1918

The factors of 4506 are 1, 2, 3, 6, 751, 1502, 2253, 4506

The HCF of 1918,4506 is 2.

Lets's calculate GCF of 1918,4506

Greatest Common Factor (GCF) of 1918,4506 By Common Division

2	1918, 4506
	959, 2253

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

Greatest Common Factor of 1918,4506 By Matching Biggest Common Factor Method

Now, list down the factors of 1918

1,2,7,14,137,274,959,1918

Now, list down the factors of 4506

1,2,3,6,751,1502,2253,4506

Greatest Common Factor

We found the factors 1918,4506 . The biggest common factor number is the GCF number.
So the greatest common factor 1918,4506 is 2.

Lets's calculate LCM of 542,765

Lowest Common Multiple of 542,765 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 414630

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/414630

Therefore, the GCF of Fractions 1918/542,4506/765 is 2/414630

Least Common Multiple of 542,765 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 542,765 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(542,765) = 1

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

GCF(542,765) x common factors =1 x 1 = 1

LCM(542,765) = ( 542 × 765 ) / 1

LCM(542,765) = 414630 / 1

LCM(542,765) = 414630

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FAQs on GCF of Fractions of 1918/542, 4506/765

1. What is the HCF of 1918,4506?

The HCF of 1918,4506 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 1918/542, 4506/765?

Answer: GCF of Numerators as per given numbers 1918/542, 4506/765 is

GCF of Numerators i.e. for 1918,4506 is 2

LCM of denominators i.e. for 542,765 is 414630.

Thus, GCF of Fractions is 2/414630.Finally, GCF of Fractions for 1918/542, 4506/765 is 2/414630.