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GCF of 849/892, 825/682

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 849/892, 825/682 i.e 3/304172 easily. The following is the detailed procedure to determine the greatest common factor of fractions 849/892, 825/682.

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 849/892,825/682?

Given fractions are 849/892,825/682

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 849/892,825/682, numerators are 849,825

Denominators are 892,682

The GCF of 849,825 is 3 .

LCM of 892,682 is 304172.

The greatest common factor of 849/892,825/682 = [GCF of 849,825]/[LCM of 892,682]= 3/304172

Therefore, the GCF of 849/892,825/682 is 3/304172.

Greatest Common Factor of 849,825

To find the highest common factor of 849,825, we have to find the factors of both numbers and list the highest common factor.

The factors of 849 are 1, 3, 283, 849

The factors of 825 are 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

The HCF of 849,825 is 3.

Lets's calculate GCF of 849,825

Greatest Common Factor (GCF) of 849,825 By Common Division

3 849, 825
283, 275

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 849,825 By Matching Biggest Common Factor Method

Greatest Common Factor of 849,825 By Matching Biggest Common Factor Method

Now, list down the factors of 849

:

1,3,283,849

Now, list down the factors of 825

:

1,3,5,11,15,25,33,55,75,165,275,825

Greatest Common Factor

We found the factors 849,825 . The biggest common factor number is the GCF number.
So the greatest common factor 849,825 is 3.

Lets's calculate LCM of 892,682

Lowest Common Multiple of 892,682 using Common Division

2 892, 682
446, 341

∴ So the LCM of the given numbers is 2 x 446 x 341 = 304172

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/304172

Therefore, the GCF of Fractions 849/892,825/682 is 3/304172

Least Common Multiple of 892,682 with GCF Formula

Least Common Multiple of 892,682 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 892,682 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(892,682) = 2

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

GCF(892,682) x common factors =2 x 1 = 2

LCM(892,682) = ( 892 × 682 ) / 2

LCM(892,682) = 608344 / 2

LCM(892,682) = 304172


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FAQs on GCF of Fractions of 849/892, 825/682

1. What is the HCF of 849,825?

The HCF of 849,825 is 3

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 849/892, 825/682?

Answer: GCF of Numerators as per given numbers 849/892, 825/682 is

GCF of Numerators i.e. for 849,825 is 3

LCM of denominators i.e. for 892,682 is 304172.

Thus, GCF of Fractions is 3/304172.Finally, GCF of Fractions for 849/892, 825/682 is 3/304172.