How to Find GCF of 7652/275, 4758/2004?

GCF of 7652/275, 4758/2004

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 7652/275, 4758/2004 i.e 2/551100 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7652/275, 4758/2004.

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 7652/275,4758/2004?

Given fractions are 7652/275,4758/2004

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 7652/275,4758/2004, numerators are 7652,4758

Denominators are 275,2004

The GCF of 7652,4758 is 2 .

LCM of 275,2004 is 551100.

The greatest common factor of 7652/275,4758/2004 = [GCF of 7652,4758]/[LCM of 275,2004]= 2/551100

Therefore, the GCF of 7652/275,4758/2004 is 2/551100.

Greatest Common Factor of 7652,4758

To find the highest common factor of 7652,4758, we have to find the factors of both numbers and list the highest common factor.

The factors of 7652 are 1, 2, 4, 1913, 3826, 7652

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

The HCF of 7652,4758 is 2.

Lets's calculate GCF of 7652,4758

Greatest Common Factor (GCF) of 7652,4758 By Common Division

2	7652, 4758
	3826, 2379

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

Greatest Common Factor of 7652,4758 By Matching Biggest Common Factor Method

Now, list down the factors of 7652

1,2,4,1913,3826,7652

Now, list down the factors of 4758

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

Greatest Common Factor

We found the factors 7652,4758 . The biggest common factor number is the GCF number.
So the greatest common factor 7652,4758 is 2.

Lets's calculate LCM of 275,2004

Lowest Common Multiple of 275,2004 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 551100

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/551100

Therefore, the GCF of Fractions 7652/275,4758/2004 is 2/551100

Least Common Multiple of 275,2004 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 275,2004 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(275,2004) = 1

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

GCF(275,2004) x common factors =1 x 1 = 1

LCM(275,2004) = ( 275 × 2004 ) / 1

LCM(275,2004) = 551100 / 1

LCM(275,2004) = 551100

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 7652/275, 4758/2004

1. What is the HCF of 7652,4758?

The HCF of 7652,4758 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 7652/275, 4758/2004?

Answer: GCF of Numerators as per given numbers 7652/275, 4758/2004 is

GCF of Numerators i.e. for 7652,4758 is 2

LCM of denominators i.e. for 275,2004 is 551100.

Thus, GCF of Fractions is 2/551100.Finally, GCF of Fractions for 7652/275, 4758/2004 is 2/551100.