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GCF of 70/83, 306/62, 535/591

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 70/83, 306/62, 535/591 i.e 1/3041286 easily. The following is the detailed procedure to determine the greatest common factor of fractions 70/83, 306/62, 535/591.

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 70/83,306/62,535/591?

Given fractions are 70/83,306/62,535/591

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 70/83,306/62,535/591, numerators are 70,306,535

Denominators are 83,62,591

The GCF of 70,306,535 is 1 .

LCM of 83,62,591 is 3041286.

The greatest common factor of 70/83,306/62,535/591 = [GCF of 70,306,535]/[LCM of 83,62,591]= 1/3041286

Therefore, the GCF of 70/83,306/62,535/591 is 1/3041286.

Greatest Common Factor of 70,306,535

To find the highest common factor of 70,306,535, we have to find the factors of both numbers and list the highest common factor.

The factors of 70 are 1, 2, 5, 7, 10, 14, 35, 70

The factors of 306 are 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

The factors of 535 are 1, 5, 107, 535

The HCF of 70,306,535 is 1.

Lets's calculate GCF of 70,306,535

Greatest Common Factor (GCF) of 70,306,535 By Common Division

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

Greatest Common Factor of 70,306,535 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,306,535 By Matching Biggest Common Factor Method

Now, list down the factors of 70

:

1,2,5,7,10,14,35,70

Now, list down the factors of 306

:

1,2,3,6,9,17,18,34,51,102,153,306

Now, list down the factors of 535

:

1,5,107,535

Greatest Common Factor

We found the factors 70,306,535 . The biggest common factor number is the GCF number.
So the greatest common factor 70,306,535 is 1.


Lets's calculate LCM of 83,62,591

Lowest Common Multiple of 83,62,591 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3041286

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3041286

Therefore, the GCF of Fractions 70/83,306/62,535/591 is 1/3041286

Least Common Multiple of 83,62,591 with GCF Formula

Least Common Multiple of 83,62,591 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 83,62,591 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,62,591) = 1

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

GCF(83,62,591) x common factors =1 x 1 = 1

LCM(83,62,591) = ( 83 × 62 × 591 ) / 1

LCM(83,62,591) = 3041286 / 1

LCM(83,62,591) = 3041286


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 70/83, 306/62, 535/591

1. What is the HCF of 70,306,535?

The HCF of 70,306,535 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 70/83, 306/62, 535/591?

Answer: GCF of Numerators as per given numbers 70/83, 306/62, 535/591 is

GCF of Numerators i.e. for 70,306,535 is 1

LCM of denominators i.e. for 83,62,591 is 3041286.

Thus, GCF of Fractions is 1/3041286.Finally, GCF of Fractions for 70/83, 306/62, 535/591 is 1/3041286.