How to Find GCF of 4758/915, 2984/6827?

GCF of 4758/915, 2984/6827

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 4758/915, 2984/6827 i.e 2/6246705 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4758/915, 2984/6827.

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 4758/915,2984/6827?

Given fractions are 4758/915,2984/6827

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 4758/915,2984/6827, numerators are 4758,2984

Denominators are 915,6827

The GCF of 4758,2984 is 2 .

LCM of 915,6827 is 6246705.

The greatest common factor of 4758/915,2984/6827 = [GCF of 4758,2984]/[LCM of 915,6827]= 2/6246705

Therefore, the GCF of 4758/915,2984/6827 is 2/6246705.

Greatest Common Factor of 4758,2984

To find the highest common factor of 4758,2984, we have to find the factors of both numbers and list the highest common factor.

The factors of 4758 are 1, 2, 3, 6, 13, 26, 39, 61, 78, 122, 183, 366, 793, 1586, 2379, 4758

The factors of 2984 are 1, 2, 4, 8, 373, 746, 1492, 2984

The HCF of 4758,2984 is 2.

Lets's calculate GCF of 4758,2984

Greatest Common Factor (GCF) of 4758,2984 By Common Division

2	4758, 2984
	2379, 1492

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 4758,2984 By Matching Biggest Common Factor Method

Now, list down the factors of 4758

1,2,3,6,13,26,39,61,78,122,183,366,793,1586,2379,4758

Now, list down the factors of 2984

1,2,4,8,373,746,1492,2984

Greatest Common Factor

We found the factors 4758,2984 . The biggest common factor number is the GCF number.
So the greatest common factor 4758,2984 is 2.

Lets's calculate LCM of 915,6827

Lowest Common Multiple of 915,6827 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6246705

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6246705

Therefore, the GCF of Fractions 4758/915,2984/6827 is 2/6246705

Least Common Multiple of 915,6827 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 915,6827 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(915,6827) = 1

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

GCF(915,6827) x common factors =1 x 1 = 1

LCM(915,6827) = ( 915 × 6827 ) / 1

LCM(915,6827) = 6246705 / 1

LCM(915,6827) = 6246705

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 4758/915, 2984/6827

1. What is the HCF of 4758,2984?

The HCF of 4758,2984 is 2

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 4758/915, 2984/6827?

Answer: GCF of Numerators as per given numbers 4758/915, 2984/6827 is

GCF of Numerators i.e. for 4758,2984 is 2

LCM of denominators i.e. for 915,6827 is 6246705.

Thus, GCF of Fractions is 2/6246705.Finally, GCF of Fractions for 4758/915, 2984/6827 is 2/6246705.