GCF of 7137/204, 7775/7095
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7137/204, 7775/7095 i.e 1/482460 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7137/204, 7775/7095.
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 7137/204,7775/7095?
Given fractions are 7137/204,7775/7095
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 7137/204,7775/7095, numerators are 7137,7775
Denominators are 204,7095
The GCF of 7137,7775 is 1 .
LCM of 204,7095 is 482460.
The greatest common factor of 7137/204,7775/7095 = [GCF of 7137,7775]/[LCM of 204,7095]= 1/482460
Therefore, the GCF of 7137/204,7775/7095 is 1/482460.
To find the highest common factor of 7137,7775, we have to find the factors of both numbers and list the highest common factor.
The factors of 7137 are 1, 3, 9, 13, 39, 61, 117, 183, 549, 793, 2379, 7137
The factors of 7775 are 1, 5, 25, 311, 1555, 7775
The HCF of 7137,7775 is 1.
Lets's calculate GCF of 7137,7775
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7137,7775 By Matching Biggest Common Factor Method
Now, list down the factors of 7137
:1,3,9,13,39,61,117,183,549,793,2379,7137
Now, list down the factors of 7775
:1,5,25,311,1555,7775
Greatest Common Factor
We found the factors 7137,7775 . The biggest common factor number is the GCF number.
So the greatest common factor 7137,7775 is 1.
Lets's calculate LCM of 204,7095
| 3 | 204, 7095 |
| 68, 2365 |
∴ So the LCM of the given numbers is 3 x 68 x 2365 = 482460
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/482460
Therefore, the GCF of Fractions 7137/204,7775/7095 is 1/482460
Least Common Multiple of 204,7095 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 204,7095 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(204,7095) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(204,7095) x common factors =3 x 1 = 3
LCM(204,7095) = ( 204 × 7095 ) / 3
LCM(204,7095) = 1447380 / 3
LCM(204,7095) = 482460
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FAQs on GCF of Fractions of 7137/204, 7775/7095
1. What is the HCF of 7137,7775?
The HCF of 7137,7775 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 7137/204, 7775/7095?
Answer: GCF of Numerators as per given numbers 7137/204, 7775/7095 is
GCF of Numerators i.e. for 7137,7775 is 1
LCM of denominators i.e. for 204,7095 is 482460.
Thus, GCF of Fractions is 1/482460.Finally, GCF of Fractions for 7137/204, 7775/7095 is 1/482460.