GCF of 1266/502, 6776/613
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1266/502, 6776/613 i.e 2/307726 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1266/502, 6776/613.
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 1266/502,6776/613?
Given fractions are 1266/502,6776/613
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 1266/502,6776/613, numerators are 1266,6776
Denominators are 502,613
The GCF of 1266,6776 is 2 .
LCM of 502,613 is 307726.
The greatest common factor of 1266/502,6776/613 = [GCF of 1266,6776]/[LCM of 502,613]= 2/307726
Therefore, the GCF of 1266/502,6776/613 is 2/307726.
To find the highest common factor of 1266,6776, 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 6776 are 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 121, 154, 242, 308, 484, 616, 847, 968, 1694, 3388, 6776
The HCF of 1266,6776 is 2.
Lets's calculate GCF of 1266,6776
| 2 | 1266, 6776 |
| 633, 3388 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1266,6776 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 6776
:1,2,4,7,8,11,14,22,28,44,56,77,88,121,154,242,308,484,616,847,968,1694,3388,6776
Greatest Common Factor
We found the factors 1266,6776 . The biggest common factor number is the GCF number.
So the greatest common factor 1266,6776 is 2.
Lets's calculate LCM of 502,613
Given numbers has no common factors except 1. So, there LCM is their product i.e 307726
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/307726
Therefore, the GCF of Fractions 1266/502,6776/613 is 2/307726
Least Common Multiple of 502,613 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 502,613 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(502,613) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(502,613) x common factors =1 x 1 = 1
LCM(502,613) = ( 502 × 613 ) / 1
LCM(502,613) = 307726 / 1
LCM(502,613) = 307726
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FAQs on GCF of Fractions of 1266/502, 6776/613
1. What is the HCF of 1266,6776?
The HCF of 1266,6776 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 1266/502, 6776/613?
Answer: GCF of Numerators as per given numbers 1266/502, 6776/613 is
GCF of Numerators i.e. for 1266,6776 is 2
LCM of denominators i.e. for 502,613 is 307726.
Thus, GCF of Fractions is 2/307726.Finally, GCF of Fractions for 1266/502, 6776/613 is 2/307726.