How to Find GCF of 1252/668, 4600/8127?

GCF of 1252/668, 4600/8127

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 1252/668, 4600/8127 i.e 4/5428836 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1252/668, 4600/8127.

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 1252/668,4600/8127?

Given fractions are 1252/668,4600/8127

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 1252/668,4600/8127, numerators are 1252,4600

Denominators are 668,8127

The GCF of 1252,4600 is 4 .

LCM of 668,8127 is 5428836.

The greatest common factor of 1252/668,4600/8127 = [GCF of 1252,4600]/[LCM of 668,8127]= 4/5428836

Therefore, the GCF of 1252/668,4600/8127 is 4/5428836.

Greatest Common Factor of 1252,4600

To find the highest common factor of 1252,4600, we have to find the factors of both numbers and list the highest common factor.

The factors of 1252 are 1, 2, 4, 313, 626, 1252

The factors of 4600 are 1, 2, 4, 5, 8, 10, 20, 23, 25, 40, 46, 50, 92, 100, 115, 184, 200, 230, 460, 575, 920, 1150, 2300, 4600

The HCF of 1252,4600 is 4.

Lets's calculate GCF of 1252,4600

Greatest Common Factor (GCF) of 1252,4600 By Common Division

2	1252, 4600
2	626, 2300
	313, 1150

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 1252,4600 By Matching Biggest Common Factor Method

Now, list down the factors of 1252

1,2,4,313,626,1252

Now, list down the factors of 4600

1,2,4,5,8,10,20,23,25,40,46,50,92,100,115,184,200,230,460,575,920,1150,2300,4600

Greatest Common Factor

We found the factors 1252,4600 . The biggest common factor number is the GCF number.
So the greatest common factor 1252,4600 is 4.

Lets's calculate LCM of 668,8127

Lowest Common Multiple of 668,8127 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5428836

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/5428836

Therefore, the GCF of Fractions 1252/668,4600/8127 is 4/5428836

Least Common Multiple of 668,8127 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 668,8127 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(668,8127) = 1

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

GCF(668,8127) x common factors =1 x 1 = 1

LCM(668,8127) = ( 668 × 8127 ) / 1

LCM(668,8127) = 5428836 / 1

LCM(668,8127) = 5428836

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FAQs on GCF of Fractions of 1252/668, 4600/8127

1. What is the HCF of 1252,4600?

The HCF of 1252,4600 is 4

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 1252/668, 4600/8127?

Answer: GCF of Numerators as per given numbers 1252/668, 4600/8127 is

GCF of Numerators i.e. for 1252,4600 is 4

LCM of denominators i.e. for 668,8127 is 5428836.

Thus, GCF of Fractions is 4/5428836.Finally, GCF of Fractions for 1252/668, 4600/8127 is 4/5428836.