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GCF of 935/18, 425/184

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 935/18, 425/184 i.e 85/1656 easily. The following is the detailed procedure to determine the greatest common factor of fractions 935/18, 425/184.

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 935/18,425/184?

Given fractions are 935/18,425/184

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 935/18,425/184, numerators are 935,425

Denominators are 18,184

The GCF of 935,425 is 85 .

LCM of 18,184 is 1656.

The greatest common factor of 935/18,425/184 = [GCF of 935,425]/[LCM of 18,184]= 85/1656

Therefore, the GCF of 935/18,425/184 is 85/1656.

Greatest Common Factor of 935,425

To find the highest common factor of 935,425, we have to find the factors of both numbers and list the highest common factor.

The factors of 935 are 1, 5, 11, 17, 55, 85, 187, 935

The factors of 425 are 1, 5, 17, 25, 85, 425

The HCF of 935,425 is 85.

Lets's calculate GCF of 935,425

Greatest Common Factor (GCF) of 935,425 By Common Division

5 935, 425
17 187, 85
11, 5

∴ So the GCF of the given numbers is 5 x 17 = 85

Greatest Common Factor of 935,425 By Matching Biggest Common Factor Method

Greatest Common Factor of 935,425 By Matching Biggest Common Factor Method

Now, list down the factors of 935

:

1,5,11,17,55,85,187,935

Now, list down the factors of 425

:

1,5,17,25,85,425

Greatest Common Factor

We found the factors 935,425 . The biggest common factor number is the GCF number.
So the greatest common factor 935,425 is 85.

Lets's calculate LCM of 18,184

Lowest Common Multiple of 18,184 using Common Division

2 18, 184
9, 92

∴ So the LCM of the given numbers is 2 x 9 x 92 = 1656

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 85/1656

Therefore, the GCF of Fractions 935/18,425/184 is 85/1656

Least Common Multiple of 18,184 with GCF Formula

Least Common Multiple of 18,184 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 18,184 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,184) = 2

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

GCF(18,184) x common factors =2 x 1 = 2

LCM(18,184) = ( 18 × 184 ) / 2

LCM(18,184) = 3312 / 2

LCM(18,184) = 1656


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FAQs on GCF of Fractions of 935/18, 425/184

1. What is the HCF of 935,425?

The HCF of 935,425 is 85

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 935/18, 425/184?

Answer: GCF of Numerators as per given numbers 935/18, 425/184 is

GCF of Numerators i.e. for 935,425 is 85

LCM of denominators i.e. for 18,184 is 1656.

Thus, GCF of Fractions is 85/1656.Finally, GCF of Fractions for 935/18, 425/184 is 85/1656.