GCF of 6265/121, 7339/530
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6265/121, 7339/530 i.e 179/64130 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6265/121, 7339/530.
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 6265/121,7339/530?
Given fractions are 6265/121,7339/530
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 6265/121,7339/530, numerators are 6265,7339
Denominators are 121,530
The GCF of 6265,7339 is 179 .
LCM of 121,530 is 64130.
The greatest common factor of 6265/121,7339/530 = [GCF of 6265,7339]/[LCM of 121,530]= 179/64130
Therefore, the GCF of 6265/121,7339/530 is 179/64130.
To find the highest common factor of 6265,7339, we have to find the factors of both numbers and list the highest common factor.
The factors of 6265 are 1, 5, 7, 35, 179, 895, 1253, 6265
The factors of 7339 are 1, 41, 179, 7339
The HCF of 6265,7339 is 179.
Lets's calculate GCF of 6265,7339
| 179 | 6265, 7339 |
| 35, 41 |
∴ So the GCF of the given numbers is 179 = 179
Greatest Common Factor of 6265,7339 By Matching Biggest Common Factor Method
Now, list down the factors of 6265
:1,5,7,35,179,895,1253,6265
Now, list down the factors of 7339
:1,41,179,7339
Greatest Common Factor
We found the factors 6265,7339 . The biggest common factor number is the GCF number.
So the greatest common factor 6265,7339 is 179.
Lets's calculate LCM of 121,530
Given numbers has no common factors except 1. So, there LCM is their product i.e 64130
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 179/64130
Therefore, the GCF of Fractions 6265/121,7339/530 is 179/64130
Least Common Multiple of 121,530 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 121,530 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(121,530) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(121,530) x common factors =1 x 1 = 1
LCM(121,530) = ( 121 × 530 ) / 1
LCM(121,530) = 64130 / 1
LCM(121,530) = 64130
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6265/121, 7339/530
1. What is the HCF of 6265,7339?
The HCF of 6265,7339 is 179
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 6265/121, 7339/530?
Answer: GCF of Numerators as per given numbers 6265/121, 7339/530 is
GCF of Numerators i.e. for 6265,7339 is 179
LCM of denominators i.e. for 121,530 is 64130.
Thus, GCF of Fractions is 179/64130.Finally, GCF of Fractions for 6265/121, 7339/530 is 179/64130.