GCF of 5197/702, 9190/635
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5197/702, 9190/635 i.e 1/445770 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5197/702, 9190/635.
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 5197/702,9190/635?
Given fractions are 5197/702,9190/635
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 5197/702,9190/635, numerators are 5197,9190
Denominators are 702,635
The GCF of 5197,9190 is 1 .
LCM of 702,635 is 445770.
The greatest common factor of 5197/702,9190/635 = [GCF of 5197,9190]/[LCM of 702,635]= 1/445770
Therefore, the GCF of 5197/702,9190/635 is 1/445770.
To find the highest common factor of 5197,9190, we have to find the factors of both numbers and list the highest common factor.
The factors of 5197 are 1, 5197
The factors of 9190 are 1, 2, 5, 10, 919, 1838, 4595, 9190
The HCF of 5197,9190 is 1.
Lets's calculate GCF of 5197,9190
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5197,9190 By Matching Biggest Common Factor Method
Now, list down the factors of 5197
:1,5197
Now, list down the factors of 9190
:1,2,5,10,919,1838,4595,9190
Greatest Common Factor
We found the factors 5197,9190 . The biggest common factor number is the GCF number.
So the greatest common factor 5197,9190 is 1.
Lets's calculate LCM of 702,635
Given numbers has no common factors except 1. So, there LCM is their product i.e 445770
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/445770
Therefore, the GCF of Fractions 5197/702,9190/635 is 1/445770
Least Common Multiple of 702,635 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 702,635 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(702,635) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(702,635) x common factors =1 x 1 = 1
LCM(702,635) = ( 702 × 635 ) / 1
LCM(702,635) = 445770 / 1
LCM(702,635) = 445770
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FAQs on GCF of Fractions of 5197/702, 9190/635
1. What is the HCF of 5197,9190?
The HCF of 5197,9190 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 5197/702, 9190/635?
Answer: GCF of Numerators as per given numbers 5197/702, 9190/635 is
GCF of Numerators i.e. for 5197,9190 is 1
LCM of denominators i.e. for 702,635 is 445770.
Thus, GCF of Fractions is 1/445770.Finally, GCF of Fractions for 5197/702, 9190/635 is 1/445770.