GCF of 5076/122, 1579/9195
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5076/122, 1579/9195 i.e 1/1121790 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5076/122, 1579/9195.
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 5076/122,1579/9195?
Given fractions are 5076/122,1579/9195
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 5076/122,1579/9195, numerators are 5076,1579
Denominators are 122,9195
The GCF of 5076,1579 is 1 .
LCM of 122,9195 is 1121790.
The greatest common factor of 5076/122,1579/9195 = [GCF of 5076,1579]/[LCM of 122,9195]= 1/1121790
Therefore, the GCF of 5076/122,1579/9195 is 1/1121790.
To find the highest common factor of 5076,1579, 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 1579 are 1, 1579
The HCF of 5076,1579 is 1.
Lets's calculate GCF of 5076,1579
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5076,1579 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 1579
:1,1579
Greatest Common Factor
We found the factors 5076,1579 . The biggest common factor number is the GCF number.
So the greatest common factor 5076,1579 is 1.
Lets's calculate LCM of 122,9195
Given numbers has no common factors except 1. So, there LCM is their product i.e 1121790
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1121790
Therefore, the GCF of Fractions 5076/122,1579/9195 is 1/1121790
Least Common Multiple of 122,9195 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 122,9195 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(122,9195) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(122,9195) x common factors =1 x 1 = 1
LCM(122,9195) = ( 122 × 9195 ) / 1
LCM(122,9195) = 1121790 / 1
LCM(122,9195) = 1121790
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FAQs on GCF of Fractions of 5076/122, 1579/9195
1. What is the HCF of 5076,1579?
The HCF of 5076,1579 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 5076/122, 1579/9195?
Answer: GCF of Numerators as per given numbers 5076/122, 1579/9195 is
GCF of Numerators i.e. for 5076,1579 is 1
LCM of denominators i.e. for 122,9195 is 1121790.
Thus, GCF of Fractions is 1/1121790.Finally, GCF of Fractions for 5076/122, 1579/9195 is 1/1121790.