How to Find GCF of 935/550, 935/504?

GCF of 935/550, 935/504

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 935/550, 935/504 i.e 935/138600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 935/550, 935/504.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 935/550,935/504?

Given fractions are 935/550,935/504

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 935/550,935/504, numerators are 935,935

Denominators are 550,504

The GCF of 935,935 is 935 .

LCM of 550,504 is 138600.

The greatest common factor of 935/550,935/504 = [GCF of 935,935]/[LCM of 550,504]= 935/138600

Therefore, the GCF of 935/550,935/504 is 935/138600.

Greatest Common Factor of 935,935

To find the highest common factor of 935,935, 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 HCF of 935,935 is 935.

Lets's calculate GCF of 935,935

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

5	935, 935
11	187, 187
17	17, 17
	1, 1

∴ So the GCF of the given numbers is 5 x 11 x 17 = 935

Greatest Common Factor of 935,935 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 935

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

Greatest Common Factor

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

Lets's calculate LCM of 550,504

Lowest Common Multiple of 550,504 using Common Division

2	550, 504
	275, 252

∴ So the LCM of the given numbers is 2 x 275 x 252 = 138600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 935/138600

Therefore, the GCF of Fractions 935/550,935/504 is 935/138600

Least Common Multiple of 550,504 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 550,504 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(550,504) = 2

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

GCF(550,504) x common factors =2 x 1 = 2

LCM(550,504) = ( 550 × 504 ) / 2

LCM(550,504) = 277200 / 2

LCM(550,504) = 138600

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FAQs on GCF of Fractions of 935/550, 935/504

1. What is the HCF of 935,935?

The HCF of 935,935 is 935

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 935/550, 935/504?

Answer: GCF of Numerators as per given numbers 935/550, 935/504 is

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

LCM of denominators i.e. for 550,504 is 138600.

Thus, GCF of Fractions is 935/138600.Finally, GCF of Fractions for 935/550, 935/504 is 935/138600.