GCF of 6979/515, 4529/1780
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6979/515, 4529/1780 i.e 7/183340 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6979/515, 4529/1780.
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 6979/515,4529/1780?
Given fractions are 6979/515,4529/1780
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 6979/515,4529/1780, numerators are 6979,4529
Denominators are 515,1780
The GCF of 6979,4529 is 7 .
LCM of 515,1780 is 183340.
The greatest common factor of 6979/515,4529/1780 = [GCF of 6979,4529]/[LCM of 515,1780]= 7/183340
Therefore, the GCF of 6979/515,4529/1780 is 7/183340.
To find the highest common factor of 6979,4529, we have to find the factors of both numbers and list the highest common factor.
The factors of 6979 are 1, 7, 997, 6979
The factors of 4529 are 1, 7, 647, 4529
The HCF of 6979,4529 is 7.
Lets's calculate GCF of 6979,4529
| 7 | 6979, 4529 |
| 997, 647 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 6979,4529 By Matching Biggest Common Factor Method
Now, list down the factors of 6979
:1,7,997,6979
Now, list down the factors of 4529
:1,7,647,4529
Greatest Common Factor
We found the factors 6979,4529 . The biggest common factor number is the GCF number.
So the greatest common factor 6979,4529 is 7.
Lets's calculate LCM of 515,1780
| 5 | 515, 1780 |
| 103, 356 |
∴ So the LCM of the given numbers is 5 x 103 x 356 = 183340
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/183340
Therefore, the GCF of Fractions 6979/515,4529/1780 is 7/183340
Least Common Multiple of 515,1780 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 515,1780 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(515,1780) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(515,1780) x common factors =5 x 1 = 5
LCM(515,1780) = ( 515 × 1780 ) / 5
LCM(515,1780) = 916700 / 5
LCM(515,1780) = 183340
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FAQs on GCF of Fractions of 6979/515, 4529/1780
1. What is the HCF of 6979,4529?
The HCF of 6979,4529 is 7
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 6979/515, 4529/1780?
Answer: GCF of Numerators as per given numbers 6979/515, 4529/1780 is
GCF of Numerators i.e. for 6979,4529 is 7
LCM of denominators i.e. for 515,1780 is 183340.
Thus, GCF of Fractions is 7/183340.Finally, GCF of Fractions for 6979/515, 4529/1780 is 7/183340.