How to Find GCF of 835/504, 9689/780?

GCF of 835/504, 9689/780

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 835/504, 9689/780 i.e 1/32760 easily. The following is the detailed procedure to determine the greatest common factor of fractions 835/504, 9689/780.

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 835/504,9689/780?

Given fractions are 835/504,9689/780

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 835/504,9689/780, numerators are 835,9689

Denominators are 504,780

The GCF of 835,9689 is 1 .

LCM of 504,780 is 32760.

The greatest common factor of 835/504,9689/780 = [GCF of 835,9689]/[LCM of 504,780]= 1/32760

Therefore, the GCF of 835/504,9689/780 is 1/32760.

Greatest Common Factor of 835,9689

To find the highest common factor of 835,9689, we have to find the factors of both numbers and list the highest common factor.

The factors of 835 are 1, 5, 167, 835

The factors of 9689 are 1, 9689

The HCF of 835,9689 is 1.

Lets's calculate GCF of 835,9689

Greatest Common Factor (GCF) of 835,9689 By Common Division

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

Greatest Common Factor of 835,9689 By Matching Biggest Common Factor Method

Now, list down the factors of 835

1,5,167,835

Now, list down the factors of 9689

1,9689

Greatest Common Factor

We found the factors 835,9689 . The biggest common factor number is the GCF number.
So the greatest common factor 835,9689 is 1.

Lets's calculate LCM of 504,780

Lowest Common Multiple of 504,780 using Common Division

2	504, 780
2	252, 390
3	126, 195
	42, 65

∴ So the LCM of the given numbers is 2 x 2 x 3 x 42 x 65 = 32760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/32760

Therefore, the GCF of Fractions 835/504,9689/780 is 1/32760

Least Common Multiple of 504,780 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 504,780 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(504,780) = 12

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

GCF(504,780) x common factors =12 x 1 = 12

LCM(504,780) = ( 504 × 780 ) / 12

LCM(504,780) = 393120 / 12

LCM(504,780) = 32760

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FAQs on GCF of Fractions of 835/504, 9689/780

1. What is the HCF of 835,9689?

The HCF of 835,9689 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 835/504, 9689/780?

Answer: GCF of Numerators as per given numbers 835/504, 9689/780 is

GCF of Numerators i.e. for 835,9689 is 1

LCM of denominators i.e. for 504,780 is 32760.

Thus, GCF of Fractions is 1/32760.Finally, GCF of Fractions for 835/504, 9689/780 is 1/32760.