GCF of 6902/115, 6145/9157
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6902/115, 6145/9157 i.e 1/1053055 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6902/115, 6145/9157.
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 6902/115,6145/9157?
Given fractions are 6902/115,6145/9157
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 6902/115,6145/9157, numerators are 6902,6145
Denominators are 115,9157
The GCF of 6902,6145 is 1 .
LCM of 115,9157 is 1053055.
The greatest common factor of 6902/115,6145/9157 = [GCF of 6902,6145]/[LCM of 115,9157]= 1/1053055
Therefore, the GCF of 6902/115,6145/9157 is 1/1053055.
To find the highest common factor of 6902,6145, we have to find the factors of both numbers and list the highest common factor.
The factors of 6902 are 1, 2, 7, 14, 17, 29, 34, 58, 119, 203, 238, 406, 493, 986, 3451, 6902
The factors of 6145 are 1, 5, 1229, 6145
The HCF of 6902,6145 is 1.
Lets's calculate GCF of 6902,6145
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6902,6145 By Matching Biggest Common Factor Method
Now, list down the factors of 6902
:1,2,7,14,17,29,34,58,119,203,238,406,493,986,3451,6902
Now, list down the factors of 6145
:1,5,1229,6145
Greatest Common Factor
We found the factors 6902,6145 . The biggest common factor number is the GCF number.
So the greatest common factor 6902,6145 is 1.
Lets's calculate LCM of 115,9157
Given numbers has no common factors except 1. So, there LCM is their product i.e 1053055
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1053055
Therefore, the GCF of Fractions 6902/115,6145/9157 is 1/1053055
Least Common Multiple of 115,9157 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 115,9157 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(115,9157) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(115,9157) x common factors =1 x 1 = 1
LCM(115,9157) = ( 115 × 9157 ) / 1
LCM(115,9157) = 1053055 / 1
LCM(115,9157) = 1053055
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FAQs on GCF of Fractions of 6902/115, 6145/9157
1. What is the HCF of 6902,6145?
The HCF of 6902,6145 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 6902/115, 6145/9157?
Answer: GCF of Numerators as per given numbers 6902/115, 6145/9157 is
GCF of Numerators i.e. for 6902,6145 is 1
LCM of denominators i.e. for 115,9157 is 1053055.
Thus, GCF of Fractions is 1/1053055.Finally, GCF of Fractions for 6902/115, 6145/9157 is 1/1053055.