GCF of 5059/942, 5607/9925
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5059/942, 5607/9925 i.e 1/9349350 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5059/942, 5607/9925.
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 5059/942,5607/9925?
Given fractions are 5059/942,5607/9925
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 5059/942,5607/9925, numerators are 5059,5607
Denominators are 942,9925
The GCF of 5059,5607 is 1 .
LCM of 942,9925 is 9349350.
The greatest common factor of 5059/942,5607/9925 = [GCF of 5059,5607]/[LCM of 942,9925]= 1/9349350
Therefore, the GCF of 5059/942,5607/9925 is 1/9349350.
To find the highest common factor of 5059,5607, we have to find the factors of both numbers and list the highest common factor.
The factors of 5059 are 1, 5059
The factors of 5607 are 1, 3, 7, 9, 21, 63, 89, 267, 623, 801, 1869, 5607
The HCF of 5059,5607 is 1.
Lets's calculate GCF of 5059,5607
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5059,5607 By Matching Biggest Common Factor Method
Now, list down the factors of 5059
:1,5059
Now, list down the factors of 5607
:1,3,7,9,21,63,89,267,623,801,1869,5607
Greatest Common Factor
We found the factors 5059,5607 . The biggest common factor number is the GCF number.
So the greatest common factor 5059,5607 is 1.
Lets's calculate LCM of 942,9925
Given numbers has no common factors except 1. So, there LCM is their product i.e 9349350
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9349350
Therefore, the GCF of Fractions 5059/942,5607/9925 is 1/9349350
Least Common Multiple of 942,9925 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 942,9925 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(942,9925) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(942,9925) x common factors =1 x 1 = 1
LCM(942,9925) = ( 942 × 9925 ) / 1
LCM(942,9925) = 9349350 / 1
LCM(942,9925) = 9349350
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FAQs on GCF of Fractions of 5059/942, 5607/9925
1. What is the HCF of 5059,5607?
The HCF of 5059,5607 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 5059/942, 5607/9925?
Answer: GCF of Numerators as per given numbers 5059/942, 5607/9925 is
GCF of Numerators i.e. for 5059,5607 is 1
LCM of denominators i.e. for 942,9925 is 9349350.
Thus, GCF of Fractions is 1/9349350.Finally, GCF of Fractions for 5059/942, 5607/9925 is 1/9349350.