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GCF of 7435/704, 3865/205

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 7435/704, 3865/205 i.e 5/144320 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7435/704, 3865/205.

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 7435/704,3865/205?

Given fractions are 7435/704,3865/205

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 7435/704,3865/205, numerators are 7435,3865

Denominators are 704,205

The GCF of 7435,3865 is 5 .

LCM of 704,205 is 144320.

The greatest common factor of 7435/704,3865/205 = [GCF of 7435,3865]/[LCM of 704,205]= 5/144320

Therefore, the GCF of 7435/704,3865/205 is 5/144320.

Greatest Common Factor of 7435,3865

To find the highest common factor of 7435,3865, we have to find the factors of both numbers and list the highest common factor.

The factors of 7435 are 1, 5, 1487, 7435

The factors of 3865 are 1, 5, 773, 3865

The HCF of 7435,3865 is 5.

Lets's calculate GCF of 7435,3865

Greatest Common Factor (GCF) of 7435,3865 By Common Division

5 7435, 3865
1487, 773

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 7435,3865 By Matching Biggest Common Factor Method

Greatest Common Factor of 7435,3865 By Matching Biggest Common Factor Method

Now, list down the factors of 7435

:

1,5,1487,7435

Now, list down the factors of 3865

:

1,5,773,3865

Greatest Common Factor

We found the factors 7435,3865 . The biggest common factor number is the GCF number.
So the greatest common factor 7435,3865 is 5.

Lets's calculate LCM of 704,205

Lowest Common Multiple of 704,205 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 144320

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/144320

Therefore, the GCF of Fractions 7435/704,3865/205 is 5/144320

Least Common Multiple of 704,205 with GCF Formula

Least Common Multiple of 704,205 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 704,205 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(704,205) = 1

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

GCF(704,205) x common factors =1 x 1 = 1

LCM(704,205) = ( 704 × 205 ) / 1

LCM(704,205) = 144320 / 1

LCM(704,205) = 144320


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FAQs on GCF of Fractions of 7435/704, 3865/205

1. What is the HCF of 7435,3865?

The HCF of 7435,3865 is 5

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 7435/704, 3865/205?

Answer: GCF of Numerators as per given numbers 7435/704, 3865/205 is

GCF of Numerators i.e. for 7435,3865 is 5

LCM of denominators i.e. for 704,205 is 144320.

Thus, GCF of Fractions is 5/144320.Finally, GCF of Fractions for 7435/704, 3865/205 is 5/144320.