GCF of 7603/889, 8507/320
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7603/889, 8507/320 i.e 1/284480 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7603/889, 8507/320.
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 7603/889,8507/320?
Given fractions are 7603/889,8507/320
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 7603/889,8507/320, numerators are 7603,8507
Denominators are 889,320
The GCF of 7603,8507 is 1 .
LCM of 889,320 is 284480.
The greatest common factor of 7603/889,8507/320 = [GCF of 7603,8507]/[LCM of 889,320]= 1/284480
Therefore, the GCF of 7603/889,8507/320 is 1/284480.
To find the highest common factor of 7603,8507, we have to find the factors of both numbers and list the highest common factor.
The factors of 7603 are 1, 7603
The factors of 8507 are 1, 47, 181, 8507
The HCF of 7603,8507 is 1.
Lets's calculate GCF of 7603,8507
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7603,8507 By Matching Biggest Common Factor Method
Now, list down the factors of 7603
:1,7603
Now, list down the factors of 8507
:1,47,181,8507
Greatest Common Factor
We found the factors 7603,8507 . The biggest common factor number is the GCF number.
So the greatest common factor 7603,8507 is 1.
Lets's calculate LCM of 889,320
Given numbers has no common factors except 1. So, there LCM is their product i.e 284480
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/284480
Therefore, the GCF of Fractions 7603/889,8507/320 is 1/284480
Least Common Multiple of 889,320 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 889,320 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(889,320) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(889,320) x common factors =1 x 1 = 1
LCM(889,320) = ( 889 × 320 ) / 1
LCM(889,320) = 284480 / 1
LCM(889,320) = 284480
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FAQs on GCF of Fractions of 7603/889, 8507/320
1. What is the HCF of 7603,8507?
The HCF of 7603,8507 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 7603/889, 8507/320?
Answer: GCF of Numerators as per given numbers 7603/889, 8507/320 is
GCF of Numerators i.e. for 7603,8507 is 1
LCM of denominators i.e. for 889,320 is 284480.
Thus, GCF of Fractions is 1/284480.Finally, GCF of Fractions for 7603/889, 8507/320 is 1/284480.