GCF of 5206/266, 1070/617
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5206/266, 1070/617 i.e 2/164122 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5206/266, 1070/617.
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 5206/266,1070/617?
Given fractions are 5206/266,1070/617
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 5206/266,1070/617, numerators are 5206,1070
Denominators are 266,617
The GCF of 5206,1070 is 2 .
LCM of 266,617 is 164122.
The greatest common factor of 5206/266,1070/617 = [GCF of 5206,1070]/[LCM of 266,617]= 2/164122
Therefore, the GCF of 5206/266,1070/617 is 2/164122.
To find the highest common factor of 5206,1070, we have to find the factors of both numbers and list the highest common factor.
The factors of 5206 are 1, 2, 19, 38, 137, 274, 2603, 5206
The factors of 1070 are 1, 2, 5, 10, 107, 214, 535, 1070
The HCF of 5206,1070 is 2.
Lets's calculate GCF of 5206,1070
| 2 | 5206, 1070 |
| 2603, 535 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5206,1070 By Matching Biggest Common Factor Method
Now, list down the factors of 5206
:1,2,19,38,137,274,2603,5206
Now, list down the factors of 1070
:1,2,5,10,107,214,535,1070
Greatest Common Factor
We found the factors 5206,1070 . The biggest common factor number is the GCF number.
So the greatest common factor 5206,1070 is 2.
Lets's calculate LCM of 266,617
Given numbers has no common factors except 1. So, there LCM is their product i.e 164122
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/164122
Therefore, the GCF of Fractions 5206/266,1070/617 is 2/164122
Least Common Multiple of 266,617 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 266,617 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(266,617) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(266,617) x common factors =1 x 1 = 1
LCM(266,617) = ( 266 × 617 ) / 1
LCM(266,617) = 164122 / 1
LCM(266,617) = 164122
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FAQs on GCF of Fractions of 5206/266, 1070/617
1. What is the HCF of 5206,1070?
The HCF of 5206,1070 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 5206/266, 1070/617?
Answer: GCF of Numerators as per given numbers 5206/266, 1070/617 is
GCF of Numerators i.e. for 5206,1070 is 2
LCM of denominators i.e. for 266,617 is 164122.
Thus, GCF of Fractions is 2/164122.Finally, GCF of Fractions for 5206/266, 1070/617 is 2/164122.