GCF of 7909/172, 6184/7159
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7909/172, 6184/7159 i.e 1/1231348 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7909/172, 6184/7159.
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 7909/172,6184/7159?
Given fractions are 7909/172,6184/7159
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 7909/172,6184/7159, numerators are 7909,6184
Denominators are 172,7159
The GCF of 7909,6184 is 1 .
LCM of 172,7159 is 1231348.
The greatest common factor of 7909/172,6184/7159 = [GCF of 7909,6184]/[LCM of 172,7159]= 1/1231348
Therefore, the GCF of 7909/172,6184/7159 is 1/1231348.
To find the highest common factor of 7909,6184, we have to find the factors of both numbers and list the highest common factor.
The factors of 7909 are 1, 11, 719, 7909
The factors of 6184 are 1, 2, 4, 8, 773, 1546, 3092, 6184
The HCF of 7909,6184 is 1.
Lets's calculate GCF of 7909,6184
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7909,6184 By Matching Biggest Common Factor Method
Now, list down the factors of 7909
:1,11,719,7909
Now, list down the factors of 6184
:1,2,4,8,773,1546,3092,6184
Greatest Common Factor
We found the factors 7909,6184 . The biggest common factor number is the GCF number.
So the greatest common factor 7909,6184 is 1.
Lets's calculate LCM of 172,7159
Given numbers has no common factors except 1. So, there LCM is their product i.e 1231348
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1231348
Therefore, the GCF of Fractions 7909/172,6184/7159 is 1/1231348
Least Common Multiple of 172,7159 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 172,7159 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(172,7159) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(172,7159) x common factors =1 x 1 = 1
LCM(172,7159) = ( 172 × 7159 ) / 1
LCM(172,7159) = 1231348 / 1
LCM(172,7159) = 1231348
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FAQs on GCF of Fractions of 7909/172, 6184/7159
1. What is the HCF of 7909,6184?
The HCF of 7909,6184 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 7909/172, 6184/7159?
Answer: GCF of Numerators as per given numbers 7909/172, 6184/7159 is
GCF of Numerators i.e. for 7909,6184 is 1
LCM of denominators i.e. for 172,7159 is 1231348.
Thus, GCF of Fractions is 1/1231348.Finally, GCF of Fractions for 7909/172, 6184/7159 is 1/1231348.