GCF of 1086/268, 7210/6492
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1086/268, 7210/6492 i.e 2/434964 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1086/268, 7210/6492.
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 1086/268,7210/6492?
Given fractions are 1086/268,7210/6492
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 1086/268,7210/6492, numerators are 1086,7210
Denominators are 268,6492
The GCF of 1086,7210 is 2 .
LCM of 268,6492 is 434964.
The greatest common factor of 1086/268,7210/6492 = [GCF of 1086,7210]/[LCM of 268,6492]= 2/434964
Therefore, the GCF of 1086/268,7210/6492 is 2/434964.
To find the highest common factor of 1086,7210, we have to find the factors of both numbers and list the highest common factor.
The factors of 1086 are 1, 2, 3, 6, 181, 362, 543, 1086
The factors of 7210 are 1, 2, 5, 7, 10, 14, 35, 70, 103, 206, 515, 721, 1030, 1442, 3605, 7210
The HCF of 1086,7210 is 2.
Lets's calculate GCF of 1086,7210
| 2 | 1086, 7210 |
| 543, 3605 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1086,7210 By Matching Biggest Common Factor Method
Now, list down the factors of 1086
:1,2,3,6,181,362,543,1086
Now, list down the factors of 7210
:1,2,5,7,10,14,35,70,103,206,515,721,1030,1442,3605,7210
Greatest Common Factor
We found the factors 1086,7210 . The biggest common factor number is the GCF number.
So the greatest common factor 1086,7210 is 2.
Lets's calculate LCM of 268,6492
| 2 | 268, 6492 |
| 2 | 134, 3246 |
| 67, 1623 |
∴ So the LCM of the given numbers is 2 x 2 x 67 x 1623 = 434964
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/434964
Therefore, the GCF of Fractions 1086/268,7210/6492 is 2/434964
Least Common Multiple of 268,6492 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 268,6492 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(268,6492) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(268,6492) x common factors =4 x 1 = 4
LCM(268,6492) = ( 268 × 6492 ) / 4
LCM(268,6492) = 1739856 / 4
LCM(268,6492) = 434964
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FAQs on GCF of Fractions of 1086/268, 7210/6492
1. What is the HCF of 1086,7210?
The HCF of 1086,7210 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 1086/268, 7210/6492?
Answer: GCF of Numerators as per given numbers 1086/268, 7210/6492 is
GCF of Numerators i.e. for 1086,7210 is 2
LCM of denominators i.e. for 268,6492 is 434964.
Thus, GCF of Fractions is 2/434964.Finally, GCF of Fractions for 1086/268, 7210/6492 is 2/434964.