GCF of 5076/146, 9595/164
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5076/146, 9595/164 i.e 1/11972 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5076/146, 9595/164.
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 5076/146,9595/164?
Given fractions are 5076/146,9595/164
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 5076/146,9595/164, numerators are 5076,9595
Denominators are 146,164
The GCF of 5076,9595 is 1 .
LCM of 146,164 is 11972.
The greatest common factor of 5076/146,9595/164 = [GCF of 5076,9595]/[LCM of 146,164]= 1/11972
Therefore, the GCF of 5076/146,9595/164 is 1/11972.
To find the highest common factor of 5076,9595, we have to find the factors of both numbers and list the highest common factor.
The factors of 5076 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 47, 54, 94, 108, 141, 188, 282, 423, 564, 846, 1269, 1692, 2538, 5076
The factors of 9595 are 1, 5, 19, 95, 101, 505, 1919, 9595
The HCF of 5076,9595 is 1.
Lets's calculate GCF of 5076,9595
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5076,9595 By Matching Biggest Common Factor Method
Now, list down the factors of 5076
:1,2,3,4,6,9,12,18,27,36,47,54,94,108,141,188,282,423,564,846,1269,1692,2538,5076
Now, list down the factors of 9595
:1,5,19,95,101,505,1919,9595
Greatest Common Factor
We found the factors 5076,9595 . The biggest common factor number is the GCF number.
So the greatest common factor 5076,9595 is 1.
Lets's calculate LCM of 146,164
| 2 | 146, 164 |
| 73, 82 |
∴ So the LCM of the given numbers is 2 x 73 x 82 = 11972
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11972
Therefore, the GCF of Fractions 5076/146,9595/164 is 1/11972
Least Common Multiple of 146,164 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 146,164 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(146,164) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(146,164) x common factors =2 x 1 = 2
LCM(146,164) = ( 146 × 164 ) / 2
LCM(146,164) = 23944 / 2
LCM(146,164) = 11972
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FAQs on GCF of Fractions of 5076/146, 9595/164
1. What is the HCF of 5076,9595?
The HCF of 5076,9595 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 5076/146, 9595/164?
Answer: GCF of Numerators as per given numbers 5076/146, 9595/164 is
GCF of Numerators i.e. for 5076,9595 is 1
LCM of denominators i.e. for 146,164 is 11972.
Thus, GCF of Fractions is 1/11972.Finally, GCF of Fractions for 5076/146, 9595/164 is 1/11972.