How to Find GCF of 4885/92, 3758/933?

GCF of 4885/92, 3758/933

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 4885/92, 3758/933 i.e 1/85836 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4885/92, 3758/933.

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 4885/92,3758/933?

Given fractions are 4885/92,3758/933

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 4885/92,3758/933, numerators are 4885,3758

Denominators are 92,933

The GCF of 4885,3758 is 1 .

LCM of 92,933 is 85836.

The greatest common factor of 4885/92,3758/933 = [GCF of 4885,3758]/[LCM of 92,933]= 1/85836

Therefore, the GCF of 4885/92,3758/933 is 1/85836.

Greatest Common Factor of 4885,3758

To find the highest common factor of 4885,3758, we have to find the factors of both numbers and list the highest common factor.

The factors of 4885 are 1, 5, 977, 4885

The factors of 3758 are 1, 2, 1879, 3758

The HCF of 4885,3758 is 1.

Lets's calculate GCF of 4885,3758

Greatest Common Factor (GCF) of 4885,3758 By Common Division

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

Greatest Common Factor of 4885,3758 By Matching Biggest Common Factor Method

Now, list down the factors of 4885

1,5,977,4885

Now, list down the factors of 3758

1,2,1879,3758

Greatest Common Factor

We found the factors 4885,3758 . The biggest common factor number is the GCF number.
So the greatest common factor 4885,3758 is 1.

Lets's calculate LCM of 92,933

Lowest Common Multiple of 92,933 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 85836

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/85836

Therefore, the GCF of Fractions 4885/92,3758/933 is 1/85836

Least Common Multiple of 92,933 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 92,933 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,933) = 1

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

GCF(92,933) x common factors =1 x 1 = 1

LCM(92,933) = ( 92 × 933 ) / 1

LCM(92,933) = 85836 / 1

LCM(92,933) = 85836

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FAQs on GCF of Fractions of 4885/92, 3758/933

1. What is the HCF of 4885,3758?

The HCF of 4885,3758 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 4885/92, 3758/933?

Answer: GCF of Numerators as per given numbers 4885/92, 3758/933 is

GCF of Numerators i.e. for 4885,3758 is 1

LCM of denominators i.e. for 92,933 is 85836.

Thus, GCF of Fractions is 1/85836.Finally, GCF of Fractions for 4885/92, 3758/933 is 1/85836.