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GCF of 759/640, 429/985

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 759/640, 429/985 i.e 33/126080 easily. The following is the detailed procedure to determine the greatest common factor of fractions 759/640, 429/985.

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 759/640,429/985?

Given fractions are 759/640,429/985

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 759/640,429/985, numerators are 759,429

Denominators are 640,985

The GCF of 759,429 is 33 .

LCM of 640,985 is 126080.

The greatest common factor of 759/640,429/985 = [GCF of 759,429]/[LCM of 640,985]= 33/126080

Therefore, the GCF of 759/640,429/985 is 33/126080.

Greatest Common Factor of 759,429

To find the highest common factor of 759,429, we have to find the factors of both numbers and list the highest common factor.

The factors of 759 are 1, 3, 11, 23, 33, 69, 253, 759

The factors of 429 are 1, 3, 11, 13, 33, 39, 143, 429

The HCF of 759,429 is 33.

Lets's calculate GCF of 759,429

Greatest Common Factor (GCF) of 759,429 By Common Division

3 759, 429
11 253, 143
23, 13

∴ So the GCF of the given numbers is 3 x 11 = 33

Greatest Common Factor of 759,429 By Matching Biggest Common Factor Method

Greatest Common Factor of 759,429 By Matching Biggest Common Factor Method

Now, list down the factors of 759

:

1,3,11,23,33,69,253,759

Now, list down the factors of 429

:

1,3,11,13,33,39,143,429

Greatest Common Factor

We found the factors 759,429 . The biggest common factor number is the GCF number.
So the greatest common factor 759,429 is 33.


Lets's calculate LCM of 640,985

Lowest Common Multiple of 640,985 using Common Division

5 640, 985
128, 197

∴ So the LCM of the given numbers is 5 x 128 x 197 = 126080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 33/126080

Therefore, the GCF of Fractions 759/640,429/985 is 33/126080

Least Common Multiple of 640,985 with GCF Formula

Least Common Multiple of 640,985 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 640,985 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(640,985) = 5

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

GCF(640,985) x common factors =5 x 1 = 5

LCM(640,985) = ( 640 × 985 ) / 5

LCM(640,985) = 630400 / 5

LCM(640,985) = 126080


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 759/640, 429/985

1. What is the HCF of 759,429?

The HCF of 759,429 is 33

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 759/640, 429/985?

Answer: GCF of Numerators as per given numbers 759/640, 429/985 is

GCF of Numerators i.e. for 759,429 is 33

LCM of denominators i.e. for 640,985 is 126080.

Thus, GCF of Fractions is 33/126080.Finally, GCF of Fractions for 759/640, 429/985 is 33/126080.