How to Find GCF of 1202/732, 4785/730?

GCF of 1202/732, 4785/730

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 1202/732, 4785/730 i.e 1/267180 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1202/732, 4785/730.

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 1202/732,4785/730?

Given fractions are 1202/732,4785/730

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 1202/732,4785/730, numerators are 1202,4785

Denominators are 732,730

The GCF of 1202,4785 is 1 .

LCM of 732,730 is 267180.

The greatest common factor of 1202/732,4785/730 = [GCF of 1202,4785]/[LCM of 732,730]= 1/267180

Therefore, the GCF of 1202/732,4785/730 is 1/267180.

Greatest Common Factor of 1202,4785

To find the highest common factor of 1202,4785, we have to find the factors of both numbers and list the highest common factor.

The factors of 1202 are 1, 2, 601, 1202

The factors of 4785 are 1, 3, 5, 11, 15, 29, 33, 55, 87, 145, 165, 319, 435, 957, 1595, 4785

The HCF of 1202,4785 is 1.

Lets's calculate GCF of 1202,4785

Greatest Common Factor (GCF) of 1202,4785 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 1202,4785 By Matching Biggest Common Factor Method

Now, list down the factors of 1202

1,2,601,1202

Now, list down the factors of 4785

1,3,5,11,15,29,33,55,87,145,165,319,435,957,1595,4785

Greatest Common Factor

We found the factors 1202,4785 . The biggest common factor number is the GCF number.
So the greatest common factor 1202,4785 is 1.

Lets's calculate LCM of 732,730

Lowest Common Multiple of 732,730 using Common Division

2	732, 730
	366, 365

∴ So the LCM of the given numbers is 2 x 366 x 365 = 267180

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/267180

Therefore, the GCF of Fractions 1202/732,4785/730 is 1/267180

Least Common Multiple of 732,730 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 732,730 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(732,730) = 2

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

GCF(732,730) x common factors =2 x 1 = 2

LCM(732,730) = ( 732 × 730 ) / 2

LCM(732,730) = 534360 / 2

LCM(732,730) = 267180

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FAQs on GCF of Fractions of 1202/732, 4785/730

1. What is the HCF of 1202,4785?

The HCF of 1202,4785 is 1

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 1202/732, 4785/730?

Answer: GCF of Numerators as per given numbers 1202/732, 4785/730 is

GCF of Numerators i.e. for 1202,4785 is 1

LCM of denominators i.e. for 732,730 is 267180.

Thus, GCF of Fractions is 1/267180.Finally, GCF of Fractions for 1202/732, 4785/730 is 1/267180.