GCF of 6970/366, 7137/9167
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6970/366, 7137/9167 i.e 1/3355122 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6970/366, 7137/9167.
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 6970/366,7137/9167?
Given fractions are 6970/366,7137/9167
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 6970/366,7137/9167, numerators are 6970,7137
Denominators are 366,9167
The GCF of 6970,7137 is 1 .
LCM of 366,9167 is 3355122.
The greatest common factor of 6970/366,7137/9167 = [GCF of 6970,7137]/[LCM of 366,9167]= 1/3355122
Therefore, the GCF of 6970/366,7137/9167 is 1/3355122.
To find the highest common factor of 6970,7137, we have to find the factors of both numbers and list the highest common factor.
The factors of 6970 are 1, 2, 5, 10, 17, 34, 41, 82, 85, 170, 205, 410, 697, 1394, 3485, 6970
The factors of 7137 are 1, 3, 9, 13, 39, 61, 117, 183, 549, 793, 2379, 7137
The HCF of 6970,7137 is 1.
Lets's calculate GCF of 6970,7137
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6970,7137 By Matching Biggest Common Factor Method
Now, list down the factors of 6970
:1,2,5,10,17,34,41,82,85,170,205,410,697,1394,3485,6970
Now, list down the factors of 7137
:1,3,9,13,39,61,117,183,549,793,2379,7137
Greatest Common Factor
We found the factors 6970,7137 . The biggest common factor number is the GCF number.
So the greatest common factor 6970,7137 is 1.
Lets's calculate LCM of 366,9167
Given numbers has no common factors except 1. So, there LCM is their product i.e 3355122
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3355122
Therefore, the GCF of Fractions 6970/366,7137/9167 is 1/3355122
Least Common Multiple of 366,9167 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 366,9167 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(366,9167) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(366,9167) x common factors =1 x 1 = 1
LCM(366,9167) = ( 366 × 9167 ) / 1
LCM(366,9167) = 3355122 / 1
LCM(366,9167) = 3355122
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FAQs on GCF of Fractions of 6970/366, 7137/9167
1. What is the HCF of 6970,7137?
The HCF of 6970,7137 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 6970/366, 7137/9167?
Answer: GCF of Numerators as per given numbers 6970/366, 7137/9167 is
GCF of Numerators i.e. for 6970,7137 is 1
LCM of denominators i.e. for 366,9167 is 3355122.
Thus, GCF of Fractions is 1/3355122.Finally, GCF of Fractions for 6970/366, 7137/9167 is 1/3355122.