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GCF of 760/600, 829/662

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 760/600, 829/662 i.e 1/198600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 760/600, 829/662.

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 760/600,829/662?

Given fractions are 760/600,829/662

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 760/600,829/662, numerators are 760,829

Denominators are 600,662

The GCF of 760,829 is 1 .

LCM of 600,662 is 198600.

The greatest common factor of 760/600,829/662 = [GCF of 760,829]/[LCM of 600,662]= 1/198600

Therefore, the GCF of 760/600,829/662 is 1/198600.

Greatest Common Factor of 760,829

To find the highest common factor of 760,829, we have to find the factors of both numbers and list the highest common factor.

The factors of 760 are 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

The factors of 829 are 1, 829

The HCF of 760,829 is 1.

Lets's calculate GCF of 760,829

Greatest Common Factor (GCF) of 760,829 By Common Division

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

Greatest Common Factor of 760,829 By Matching Biggest Common Factor Method

Greatest Common Factor of 760,829 By Matching Biggest Common Factor Method

Now, list down the factors of 760

:

1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760

Now, list down the factors of 829

:

1,829

Greatest Common Factor

We found the factors 760,829 . The biggest common factor number is the GCF number.
So the greatest common factor 760,829 is 1.

Lets's calculate LCM of 600,662

Lowest Common Multiple of 600,662 using Common Division

2 600, 662
300, 331

∴ So the LCM of the given numbers is 2 x 300 x 331 = 198600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/198600

Therefore, the GCF of Fractions 760/600,829/662 is 1/198600

Least Common Multiple of 600,662 with GCF Formula

Least Common Multiple of 600,662 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 600,662 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(600,662) = 2

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

GCF(600,662) x common factors =2 x 1 = 2

LCM(600,662) = ( 600 × 662 ) / 2

LCM(600,662) = 397200 / 2

LCM(600,662) = 198600


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FAQs on GCF of Fractions of 760/600, 829/662

1. What is the HCF of 760,829?

The HCF of 760,829 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 760/600, 829/662?

Answer: GCF of Numerators as per given numbers 760/600, 829/662 is

GCF of Numerators i.e. for 760,829 is 1

LCM of denominators i.e. for 600,662 is 198600.

Thus, GCF of Fractions is 1/198600.Finally, GCF of Fractions for 760/600, 829/662 is 1/198600.