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GCF of 1735/257, 4787/2835

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 1735/257, 4787/2835 i.e 1/728595 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1735/257, 4787/2835.

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 1735/257,4787/2835?

Given fractions are 1735/257,4787/2835

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 1735/257,4787/2835, numerators are 1735,4787

Denominators are 257,2835

The GCF of 1735,4787 is 1 .

LCM of 257,2835 is 728595.

The greatest common factor of 1735/257,4787/2835 = [GCF of 1735,4787]/[LCM of 257,2835]= 1/728595

Therefore, the GCF of 1735/257,4787/2835 is 1/728595.

Greatest Common Factor of 1735,4787

To find the highest common factor of 1735,4787, we have to find the factors of both numbers and list the highest common factor.

The factors of 1735 are 1, 5, 347, 1735

The factors of 4787 are 1, 4787

The HCF of 1735,4787 is 1.

Lets's calculate GCF of 1735,4787

Greatest Common Factor (GCF) of 1735,4787 By Common Division

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

Greatest Common Factor of 1735,4787 By Matching Biggest Common Factor Method

Greatest Common Factor of 1735,4787 By Matching Biggest Common Factor Method

Now, list down the factors of 1735

:

1,5,347,1735

Now, list down the factors of 4787

:

1,4787

Greatest Common Factor

We found the factors 1735,4787 . The biggest common factor number is the GCF number.
So the greatest common factor 1735,4787 is 1.

Lets's calculate LCM of 257,2835

Lowest Common Multiple of 257,2835 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 728595

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/728595

Therefore, the GCF of Fractions 1735/257,4787/2835 is 1/728595

Least Common Multiple of 257,2835 with GCF Formula

Least Common Multiple of 257,2835 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 257,2835 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(257,2835) = 1

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

GCF(257,2835) x common factors =1 x 1 = 1

LCM(257,2835) = ( 257 × 2835 ) / 1

LCM(257,2835) = 728595 / 1

LCM(257,2835) = 728595


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FAQs on GCF of Fractions of 1735/257, 4787/2835

1. What is the HCF of 1735,4787?

The HCF of 1735,4787 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 1735/257, 4787/2835?

Answer: GCF of Numerators as per given numbers 1735/257, 4787/2835 is

GCF of Numerators i.e. for 1735,4787 is 1

LCM of denominators i.e. for 257,2835 is 728595.

Thus, GCF of Fractions is 1/728595.Finally, GCF of Fractions for 1735/257, 4787/2835 is 1/728595.