How to Find GCF of 702/253, 9150/257?

GCF of 702/253, 9150/257

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 702/253, 9150/257 i.e 6/65021 easily. The following is the detailed procedure to determine the greatest common factor of fractions 702/253, 9150/257.

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 702/253,9150/257?

Given fractions are 702/253,9150/257

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 702/253,9150/257, numerators are 702,9150

Denominators are 253,257

The GCF of 702,9150 is 6 .

LCM of 253,257 is 65021.

The greatest common factor of 702/253,9150/257 = [GCF of 702,9150]/[LCM of 253,257]= 6/65021

Therefore, the GCF of 702/253,9150/257 is 6/65021.

Greatest Common Factor of 702,9150

To find the highest common factor of 702,9150, we have to find the factors of both numbers and list the highest common factor.

The factors of 702 are 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

The factors of 9150 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 61, 75, 122, 150, 183, 305, 366, 610, 915, 1525, 1830, 3050, 4575, 9150

The HCF of 702,9150 is 6.

Lets's calculate GCF of 702,9150

Greatest Common Factor (GCF) of 702,9150 By Common Division

2	702, 9150
3	351, 4575
	117, 1525

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 702,9150 By Matching Biggest Common Factor Method

Now, list down the factors of 702

1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702

Now, list down the factors of 9150

1,2,3,5,6,10,15,25,30,50,61,75,122,150,183,305,366,610,915,1525,1830,3050,4575,9150

Greatest Common Factor

We found the factors 702,9150 . The biggest common factor number is the GCF number.
So the greatest common factor 702,9150 is 6.

Lets's calculate LCM of 253,257

Lowest Common Multiple of 253,257 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 65021

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/65021

Therefore, the GCF of Fractions 702/253,9150/257 is 6/65021

Least Common Multiple of 253,257 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 253,257 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(253,257) = 1

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

GCF(253,257) x common factors =1 x 1 = 1

LCM(253,257) = ( 253 × 257 ) / 1

LCM(253,257) = 65021 / 1

LCM(253,257) = 65021

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FAQs on GCF of Fractions of 702/253, 9150/257

1. What is the HCF of 702,9150?

The HCF of 702,9150 is 6

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 702/253, 9150/257?

Answer: GCF of Numerators as per given numbers 702/253, 9150/257 is

GCF of Numerators i.e. for 702,9150 is 6

LCM of denominators i.e. for 253,257 is 65021.

Thus, GCF of Fractions is 6/65021.Finally, GCF of Fractions for 702/253, 9150/257 is 6/65021.