GCF of 8702/521, 1940/1317
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8702/521, 1940/1317 i.e 2/686157 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8702/521, 1940/1317.
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 8702/521,1940/1317?
Given fractions are 8702/521,1940/1317
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 8702/521,1940/1317, numerators are 8702,1940
Denominators are 521,1317
The GCF of 8702,1940 is 2 .
LCM of 521,1317 is 686157.
The greatest common factor of 8702/521,1940/1317 = [GCF of 8702,1940]/[LCM of 521,1317]= 2/686157
Therefore, the GCF of 8702/521,1940/1317 is 2/686157.
To find the highest common factor of 8702,1940, we have to find the factors of both numbers and list the highest common factor.
The factors of 8702 are 1, 2, 19, 38, 229, 458, 4351, 8702
The factors of 1940 are 1, 2, 4, 5, 10, 20, 97, 194, 388, 485, 970, 1940
The HCF of 8702,1940 is 2.
Lets's calculate GCF of 8702,1940
| 2 | 8702, 1940 |
| 4351, 970 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8702,1940 By Matching Biggest Common Factor Method
Now, list down the factors of 8702
:1,2,19,38,229,458,4351,8702
Now, list down the factors of 1940
:1,2,4,5,10,20,97,194,388,485,970,1940
Greatest Common Factor
We found the factors 8702,1940 . The biggest common factor number is the GCF number.
So the greatest common factor 8702,1940 is 2.
Lets's calculate LCM of 521,1317
Given numbers has no common factors except 1. So, there LCM is their product i.e 686157
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/686157
Therefore, the GCF of Fractions 8702/521,1940/1317 is 2/686157
Least Common Multiple of 521,1317 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 521,1317 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(521,1317) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(521,1317) x common factors =1 x 1 = 1
LCM(521,1317) = ( 521 × 1317 ) / 1
LCM(521,1317) = 686157 / 1
LCM(521,1317) = 686157
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FAQs on GCF of Fractions of 8702/521, 1940/1317
1. What is the HCF of 8702,1940?
The HCF of 8702,1940 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 8702/521, 1940/1317?
Answer: GCF of Numerators as per given numbers 8702/521, 1940/1317 is
GCF of Numerators i.e. for 8702,1940 is 2
LCM of denominators i.e. for 521,1317 is 686157.
Thus, GCF of Fractions is 2/686157.Finally, GCF of Fractions for 8702/521, 1940/1317 is 2/686157.