GCF of 6268/271, 7162/2177
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6268/271, 7162/2177 i.e 2/589967 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6268/271, 7162/2177.
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 6268/271,7162/2177?
Given fractions are 6268/271,7162/2177
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 6268/271,7162/2177, numerators are 6268,7162
Denominators are 271,2177
The GCF of 6268,7162 is 2 .
LCM of 271,2177 is 589967.
The greatest common factor of 6268/271,7162/2177 = [GCF of 6268,7162]/[LCM of 271,2177]= 2/589967
Therefore, the GCF of 6268/271,7162/2177 is 2/589967.
To find the highest common factor of 6268,7162, we have to find the factors of both numbers and list the highest common factor.
The factors of 6268 are 1, 2, 4, 1567, 3134, 6268
The factors of 7162 are 1, 2, 3581, 7162
The HCF of 6268,7162 is 2.
Lets's calculate GCF of 6268,7162
| 2 | 6268, 7162 |
| 3134, 3581 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6268,7162 By Matching Biggest Common Factor Method
Now, list down the factors of 6268
:1,2,4,1567,3134,6268
Now, list down the factors of 7162
:1,2,3581,7162
Greatest Common Factor
We found the factors 6268,7162 . The biggest common factor number is the GCF number.
So the greatest common factor 6268,7162 is 2.
Lets's calculate LCM of 271,2177
Given numbers has no common factors except 1. So, there LCM is their product i.e 589967
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/589967
Therefore, the GCF of Fractions 6268/271,7162/2177 is 2/589967
Least Common Multiple of 271,2177 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 271,2177 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(271,2177) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(271,2177) x common factors =1 x 1 = 1
LCM(271,2177) = ( 271 × 2177 ) / 1
LCM(271,2177) = 589967 / 1
LCM(271,2177) = 589967
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FAQs on GCF of Fractions of 6268/271, 7162/2177
1. What is the HCF of 6268,7162?
The HCF of 6268,7162 is 2
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 6268/271, 7162/2177?
Answer: GCF of Numerators as per given numbers 6268/271, 7162/2177 is
GCF of Numerators i.e. for 6268,7162 is 2
LCM of denominators i.e. for 271,2177 is 589967.
Thus, GCF of Fractions is 2/589967.Finally, GCF of Fractions for 6268/271, 7162/2177 is 2/589967.