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GCF of 835/528, 1928/178

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 835/528, 1928/178 i.e 1/46992 easily. The following is the detailed procedure to determine the greatest common factor of fractions 835/528, 1928/178.

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 835/528,1928/178?

Given fractions are 835/528,1928/178

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 835/528,1928/178, numerators are 835,1928

Denominators are 528,178

The GCF of 835,1928 is 1 .

LCM of 528,178 is 46992.

The greatest common factor of 835/528,1928/178 = [GCF of 835,1928]/[LCM of 528,178]= 1/46992

Therefore, the GCF of 835/528,1928/178 is 1/46992.

Greatest Common Factor of 835,1928

To find the highest common factor of 835,1928, 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 1928 are 1, 2, 4, 8, 241, 482, 964, 1928

The HCF of 835,1928 is 1.

Lets's calculate GCF of 835,1928

Greatest Common Factor (GCF) of 835,1928 By Common Division

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

Greatest Common Factor of 835,1928 By Matching Biggest Common Factor Method

Greatest Common Factor of 835,1928 By Matching Biggest Common Factor Method

Now, list down the factors of 835

:

1,5,167,835

Now, list down the factors of 1928

:

1,2,4,8,241,482,964,1928

Greatest Common Factor

We found the factors 835,1928 . The biggest common factor number is the GCF number.
So the greatest common factor 835,1928 is 1.

Lets's calculate LCM of 528,178

Lowest Common Multiple of 528,178 using Common Division

2 528, 178
264, 89

∴ So the LCM of the given numbers is 2 x 264 x 89 = 46992

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/46992

Therefore, the GCF of Fractions 835/528,1928/178 is 1/46992

Least Common Multiple of 528,178 with GCF Formula

Least Common Multiple of 528,178 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 528,178 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(528,178) = 2

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

GCF(528,178) x common factors =2 x 1 = 2

LCM(528,178) = ( 528 × 178 ) / 2

LCM(528,178) = 93984 / 2

LCM(528,178) = 46992


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FAQs on GCF of Fractions of 835/528, 1928/178

1. What is the HCF of 835,1928?

The HCF of 835,1928 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 835/528, 1928/178?

Answer: GCF of Numerators as per given numbers 835/528, 1928/178 is

GCF of Numerators i.e. for 835,1928 is 1

LCM of denominators i.e. for 528,178 is 46992.

Thus, GCF of Fractions is 1/46992.Finally, GCF of Fractions for 835/528, 1928/178 is 1/46992.