GCF of 1266/536, 6876/5162
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1266/536, 6876/5162 i.e 6/1383416 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1266/536, 6876/5162.
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 1266/536,6876/5162?
Given fractions are 1266/536,6876/5162
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 1266/536,6876/5162, numerators are 1266,6876
Denominators are 536,5162
The GCF of 1266,6876 is 6 .
LCM of 536,5162 is 1383416.
The greatest common factor of 1266/536,6876/5162 = [GCF of 1266,6876]/[LCM of 536,5162]= 6/1383416
Therefore, the GCF of 1266/536,6876/5162 is 6/1383416.
To find the highest common factor of 1266,6876, we have to find the factors of both numbers and list the highest common factor.
The factors of 1266 are 1, 2, 3, 6, 211, 422, 633, 1266
The factors of 6876 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 191, 382, 573, 764, 1146, 1719, 2292, 3438, 6876
The HCF of 1266,6876 is 6.
Lets's calculate GCF of 1266,6876
| 2 | 1266, 6876 |
| 3 | 633, 3438 |
| 211, 1146 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 1266,6876 By Matching Biggest Common Factor Method
Now, list down the factors of 1266
:1,2,3,6,211,422,633,1266
Now, list down the factors of 6876
:1,2,3,4,6,9,12,18,36,191,382,573,764,1146,1719,2292,3438,6876
Greatest Common Factor
We found the factors 1266,6876 . The biggest common factor number is the GCF number.
So the greatest common factor 1266,6876 is 6.
Lets's calculate LCM of 536,5162
| 2 | 536, 5162 |
| 268, 2581 |
∴ So the LCM of the given numbers is 2 x 268 x 2581 = 1383416
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/1383416
Therefore, the GCF of Fractions 1266/536,6876/5162 is 6/1383416
Least Common Multiple of 536,5162 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 536,5162 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(536,5162) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(536,5162) x common factors =2 x 1 = 2
LCM(536,5162) = ( 536 × 5162 ) / 2
LCM(536,5162) = 2766832 / 2
LCM(536,5162) = 1383416
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FAQs on GCF of Fractions of 1266/536, 6876/5162
1. What is the HCF of 1266,6876?
The HCF of 1266,6876 is 6
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 1266/536, 6876/5162?
Answer: GCF of Numerators as per given numbers 1266/536, 6876/5162 is
GCF of Numerators i.e. for 1266,6876 is 6
LCM of denominators i.e. for 536,5162 is 1383416.
Thus, GCF of Fractions is 6/1383416.Finally, GCF of Fractions for 1266/536, 6876/5162 is 6/1383416.