How to Find GCF of 4685/488, 2334/7812?

GCF of 4685/488, 2334/7812

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 4685/488, 2334/7812 i.e 1/953064 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4685/488, 2334/7812.

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 4685/488,2334/7812?

Given fractions are 4685/488,2334/7812

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 4685/488,2334/7812, numerators are 4685,2334

Denominators are 488,7812

The GCF of 4685,2334 is 1 .

LCM of 488,7812 is 953064.

The greatest common factor of 4685/488,2334/7812 = [GCF of 4685,2334]/[LCM of 488,7812]= 1/953064

Therefore, the GCF of 4685/488,2334/7812 is 1/953064.

Greatest Common Factor of 4685,2334

To find the highest common factor of 4685,2334, we have to find the factors of both numbers and list the highest common factor.

The factors of 4685 are 1, 5, 937, 4685

The factors of 2334 are 1, 2, 3, 6, 389, 778, 1167, 2334

The HCF of 4685,2334 is 1.

Lets's calculate GCF of 4685,2334

Greatest Common Factor (GCF) of 4685,2334 By Common Division

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

Greatest Common Factor of 4685,2334 By Matching Biggest Common Factor Method

Now, list down the factors of 4685

1,5,937,4685

Now, list down the factors of 2334

1,2,3,6,389,778,1167,2334

Greatest Common Factor

We found the factors 4685,2334 . The biggest common factor number is the GCF number.
So the greatest common factor 4685,2334 is 1.

Lets's calculate LCM of 488,7812

Lowest Common Multiple of 488,7812 using Common Division

2	488, 7812
2	244, 3906
	122, 1953

∴ So the LCM of the given numbers is 2 x 2 x 122 x 1953 = 953064

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/953064

Therefore, the GCF of Fractions 4685/488,2334/7812 is 1/953064

Least Common Multiple of 488,7812 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 488,7812 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(488,7812) = 4

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

GCF(488,7812) x common factors =4 x 1 = 4

LCM(488,7812) = ( 488 × 7812 ) / 4

LCM(488,7812) = 3812256 / 4

LCM(488,7812) = 953064

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FAQs on GCF of Fractions of 4685/488, 2334/7812

1. What is the HCF of 4685,2334?

The HCF of 4685,2334 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 4685/488, 2334/7812?

Answer: GCF of Numerators as per given numbers 4685/488, 2334/7812 is

GCF of Numerators i.e. for 4685,2334 is 1

LCM of denominators i.e. for 488,7812 is 953064.

Thus, GCF of Fractions is 1/953064.Finally, GCF of Fractions for 4685/488, 2334/7812 is 1/953064.