GCF of 7159/530, 1004/5282
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7159/530, 1004/5282 i.e 1/1399730 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7159/530, 1004/5282.
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 7159/530,1004/5282?
Given fractions are 7159/530,1004/5282
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 7159/530,1004/5282, numerators are 7159,1004
Denominators are 530,5282
The GCF of 7159,1004 is 1 .
LCM of 530,5282 is 1399730.
The greatest common factor of 7159/530,1004/5282 = [GCF of 7159,1004]/[LCM of 530,5282]= 1/1399730
Therefore, the GCF of 7159/530,1004/5282 is 1/1399730.
To find the highest common factor of 7159,1004, we have to find the factors of both numbers and list the highest common factor.
The factors of 7159 are 1, 7159
The factors of 1004 are 1, 2, 4, 251, 502, 1004
The HCF of 7159,1004 is 1.
Lets's calculate GCF of 7159,1004
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7159,1004 By Matching Biggest Common Factor Method
Now, list down the factors of 7159
:1,7159
Now, list down the factors of 1004
:1,2,4,251,502,1004
Greatest Common Factor
We found the factors 7159,1004 . The biggest common factor number is the GCF number.
So the greatest common factor 7159,1004 is 1.
Lets's calculate LCM of 530,5282
| 2 | 530, 5282 |
| 265, 2641 |
∴ So the LCM of the given numbers is 2 x 265 x 2641 = 1399730
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1399730
Therefore, the GCF of Fractions 7159/530,1004/5282 is 1/1399730
Least Common Multiple of 530,5282 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 530,5282 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(530,5282) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(530,5282) x common factors =2 x 1 = 2
LCM(530,5282) = ( 530 × 5282 ) / 2
LCM(530,5282) = 2799460 / 2
LCM(530,5282) = 1399730
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FAQs on GCF of Fractions of 7159/530, 1004/5282
1. What is the HCF of 7159,1004?
The HCF of 7159,1004 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 7159/530, 1004/5282?
Answer: GCF of Numerators as per given numbers 7159/530, 1004/5282 is
GCF of Numerators i.e. for 7159,1004 is 1
LCM of denominators i.e. for 530,5282 is 1399730.
Thus, GCF of Fractions is 1/1399730.Finally, GCF of Fractions for 7159/530, 1004/5282 is 1/1399730.