GCF of 9907/912, 1585/7519
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9907/912, 1585/7519 i.e 1/6857328 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9907/912, 1585/7519.
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 9907/912,1585/7519?
Given fractions are 9907/912,1585/7519
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 9907/912,1585/7519, numerators are 9907,1585
Denominators are 912,7519
The GCF of 9907,1585 is 1 .
LCM of 912,7519 is 6857328.
The greatest common factor of 9907/912,1585/7519 = [GCF of 9907,1585]/[LCM of 912,7519]= 1/6857328
Therefore, the GCF of 9907/912,1585/7519 is 1/6857328.
To find the highest common factor of 9907,1585, we have to find the factors of both numbers and list the highest common factor.
The factors of 9907 are 1, 9907
The factors of 1585 are 1, 5, 317, 1585
The HCF of 9907,1585 is 1.
Lets's calculate GCF of 9907,1585
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9907,1585 By Matching Biggest Common Factor Method
Now, list down the factors of 9907
:1,9907
Now, list down the factors of 1585
:1,5,317,1585
Greatest Common Factor
We found the factors 9907,1585 . The biggest common factor number is the GCF number.
So the greatest common factor 9907,1585 is 1.
Lets's calculate LCM of 912,7519
Given numbers has no common factors except 1. So, there LCM is their product i.e 6857328
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6857328
Therefore, the GCF of Fractions 9907/912,1585/7519 is 1/6857328
Least Common Multiple of 912,7519 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 912,7519 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(912,7519) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(912,7519) x common factors =1 x 1 = 1
LCM(912,7519) = ( 912 × 7519 ) / 1
LCM(912,7519) = 6857328 / 1
LCM(912,7519) = 6857328
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FAQs on GCF of Fractions of 9907/912, 1585/7519
1. What is the HCF of 9907,1585?
The HCF of 9907,1585 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 9907/912, 1585/7519?
Answer: GCF of Numerators as per given numbers 9907/912, 1585/7519 is
GCF of Numerators i.e. for 9907,1585 is 1
LCM of denominators i.e. for 912,7519 is 6857328.
Thus, GCF of Fractions is 1/6857328.Finally, GCF of Fractions for 9907/912, 1585/7519 is 1/6857328.