GCF of 5966/109, 8007/7321
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5966/109, 8007/7321 i.e 157/797989 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5966/109, 8007/7321.
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 5966/109,8007/7321?
Given fractions are 5966/109,8007/7321
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 5966/109,8007/7321, numerators are 5966,8007
Denominators are 109,7321
The GCF of 5966,8007 is 157 .
LCM of 109,7321 is 797989.
The greatest common factor of 5966/109,8007/7321 = [GCF of 5966,8007]/[LCM of 109,7321]= 157/797989
Therefore, the GCF of 5966/109,8007/7321 is 157/797989.
To find the highest common factor of 5966,8007, we have to find the factors of both numbers and list the highest common factor.
The factors of 5966 are 1, 2, 19, 38, 157, 314, 2983, 5966
The factors of 8007 are 1, 3, 17, 51, 157, 471, 2669, 8007
The HCF of 5966,8007 is 157.
Lets's calculate GCF of 5966,8007
| 157 | 5966, 8007 |
| 38, 51 |
∴ So the GCF of the given numbers is 157 = 157
Greatest Common Factor of 5966,8007 By Matching Biggest Common Factor Method
Now, list down the factors of 5966
:1,2,19,38,157,314,2983,5966
Now, list down the factors of 8007
:1,3,17,51,157,471,2669,8007
Greatest Common Factor
We found the factors 5966,8007 . The biggest common factor number is the GCF number.
So the greatest common factor 5966,8007 is 157.
Lets's calculate LCM of 109,7321
Given numbers has no common factors except 1. So, there LCM is their product i.e 797989
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 157/797989
Therefore, the GCF of Fractions 5966/109,8007/7321 is 157/797989
Least Common Multiple of 109,7321 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 109,7321 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(109,7321) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(109,7321) x common factors =1 x 1 = 1
LCM(109,7321) = ( 109 × 7321 ) / 1
LCM(109,7321) = 797989 / 1
LCM(109,7321) = 797989
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FAQs on GCF of Fractions of 5966/109, 8007/7321
1. What is the HCF of 5966,8007?
The HCF of 5966,8007 is 157
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 5966/109, 8007/7321?
Answer: GCF of Numerators as per given numbers 5966/109, 8007/7321 is
GCF of Numerators i.e. for 5966,8007 is 157
LCM of denominators i.e. for 109,7321 is 797989.
Thus, GCF of Fractions is 157/797989.Finally, GCF of Fractions for 5966/109, 8007/7321 is 157/797989.