GCF of 6207/478, 8101/7106
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6207/478, 8101/7106 i.e 1/1698334 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6207/478, 8101/7106.
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 6207/478,8101/7106?
Given fractions are 6207/478,8101/7106
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 6207/478,8101/7106, numerators are 6207,8101
Denominators are 478,7106
The GCF of 6207,8101 is 1 .
LCM of 478,7106 is 1698334.
The greatest common factor of 6207/478,8101/7106 = [GCF of 6207,8101]/[LCM of 478,7106]= 1/1698334
Therefore, the GCF of 6207/478,8101/7106 is 1/1698334.
To find the highest common factor of 6207,8101, we have to find the factors of both numbers and list the highest common factor.
The factors of 6207 are 1, 3, 2069, 6207
The factors of 8101 are 1, 8101
The HCF of 6207,8101 is 1.
Lets's calculate GCF of 6207,8101
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6207,8101 By Matching Biggest Common Factor Method
Now, list down the factors of 6207
:1,3,2069,6207
Now, list down the factors of 8101
:1,8101
Greatest Common Factor
We found the factors 6207,8101 . The biggest common factor number is the GCF number.
So the greatest common factor 6207,8101 is 1.
Lets's calculate LCM of 478,7106
| 2 | 478, 7106 |
| 239, 3553 |
∴ So the LCM of the given numbers is 2 x 239 x 3553 = 1698334
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1698334
Therefore, the GCF of Fractions 6207/478,8101/7106 is 1/1698334
Least Common Multiple of 478,7106 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 478,7106 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(478,7106) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(478,7106) x common factors =2 x 1 = 2
LCM(478,7106) = ( 478 × 7106 ) / 2
LCM(478,7106) = 3396668 / 2
LCM(478,7106) = 1698334
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FAQs on GCF of Fractions of 6207/478, 8101/7106
1. What is the HCF of 6207,8101?
The HCF of 6207,8101 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 6207/478, 8101/7106?
Answer: GCF of Numerators as per given numbers 6207/478, 8101/7106 is
GCF of Numerators i.e. for 6207,8101 is 1
LCM of denominators i.e. for 478,7106 is 1698334.
Thus, GCF of Fractions is 1/1698334.Finally, GCF of Fractions for 6207/478, 8101/7106 is 1/1698334.