GCF of 7802/291, 5027/536
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7802/291, 5027/536 i.e 1/155976 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7802/291, 5027/536.
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 7802/291,5027/536?
Given fractions are 7802/291,5027/536
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 7802/291,5027/536, numerators are 7802,5027
Denominators are 291,536
The GCF of 7802,5027 is 1 .
LCM of 291,536 is 155976.
The greatest common factor of 7802/291,5027/536 = [GCF of 7802,5027]/[LCM of 291,536]= 1/155976
Therefore, the GCF of 7802/291,5027/536 is 1/155976.
To find the highest common factor of 7802,5027, we have to find the factors of both numbers and list the highest common factor.
The factors of 7802 are 1, 2, 47, 83, 94, 166, 3901, 7802
The factors of 5027 are 1, 11, 457, 5027
The HCF of 7802,5027 is 1.
Lets's calculate GCF of 7802,5027
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7802,5027 By Matching Biggest Common Factor Method
Now, list down the factors of 7802
:1,2,47,83,94,166,3901,7802
Now, list down the factors of 5027
:1,11,457,5027
Greatest Common Factor
We found the factors 7802,5027 . The biggest common factor number is the GCF number.
So the greatest common factor 7802,5027 is 1.
Lets's calculate LCM of 291,536
Given numbers has no common factors except 1. So, there LCM is their product i.e 155976
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/155976
Therefore, the GCF of Fractions 7802/291,5027/536 is 1/155976
Least Common Multiple of 291,536 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 291,536 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(291,536) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(291,536) x common factors =1 x 1 = 1
LCM(291,536) = ( 291 × 536 ) / 1
LCM(291,536) = 155976 / 1
LCM(291,536) = 155976
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FAQs on GCF of Fractions of 7802/291, 5027/536
1. What is the HCF of 7802,5027?
The HCF of 7802,5027 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 7802/291, 5027/536?
Answer: GCF of Numerators as per given numbers 7802/291, 5027/536 is
GCF of Numerators i.e. for 7802,5027 is 1
LCM of denominators i.e. for 291,536 is 155976.
Thus, GCF of Fractions is 1/155976.Finally, GCF of Fractions for 7802/291, 5027/536 is 1/155976.