How to Find GCF of 4102/793, 2414/4546?

GCF of 4102/793, 2414/4546

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 4102/793, 2414/4546 i.e 2/3604978 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4102/793, 2414/4546.

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 4102/793,2414/4546?

Given fractions are 4102/793,2414/4546

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 4102/793,2414/4546, numerators are 4102,2414

Denominators are 793,4546

The GCF of 4102,2414 is 2 .

LCM of 793,4546 is 3604978.

The greatest common factor of 4102/793,2414/4546 = [GCF of 4102,2414]/[LCM of 793,4546]= 2/3604978

Therefore, the GCF of 4102/793,2414/4546 is 2/3604978.

Greatest Common Factor of 4102,2414

To find the highest common factor of 4102,2414, we have to find the factors of both numbers and list the highest common factor.

The factors of 4102 are 1, 2, 7, 14, 293, 586, 2051, 4102

The factors of 2414 are 1, 2, 17, 34, 71, 142, 1207, 2414

The HCF of 4102,2414 is 2.

Lets's calculate GCF of 4102,2414

Greatest Common Factor (GCF) of 4102,2414 By Common Division

2	4102, 2414
	2051, 1207

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

Greatest Common Factor of 4102,2414 By Matching Biggest Common Factor Method

Now, list down the factors of 4102

1,2,7,14,293,586,2051,4102

Now, list down the factors of 2414

1,2,17,34,71,142,1207,2414

Greatest Common Factor

We found the factors 4102,2414 . The biggest common factor number is the GCF number.
So the greatest common factor 4102,2414 is 2.

Lets's calculate LCM of 793,4546

Lowest Common Multiple of 793,4546 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3604978

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3604978

Therefore, the GCF of Fractions 4102/793,2414/4546 is 2/3604978

Least Common Multiple of 793,4546 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 793,4546 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(793,4546) = 1

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

GCF(793,4546) x common factors =1 x 1 = 1

LCM(793,4546) = ( 793 × 4546 ) / 1

LCM(793,4546) = 3604978 / 1

LCM(793,4546) = 3604978

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FAQs on GCF of Fractions of 4102/793, 2414/4546

1. What is the HCF of 4102,2414?

The HCF of 4102,2414 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 4102/793, 2414/4546?

Answer: GCF of Numerators as per given numbers 4102/793, 2414/4546 is

GCF of Numerators i.e. for 4102,2414 is 2

LCM of denominators i.e. for 793,4546 is 3604978.

Thus, GCF of Fractions is 2/3604978.Finally, GCF of Fractions for 4102/793, 2414/4546 is 2/3604978.