GCF of 8489/790, 2562/1966
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8489/790, 2562/1966 i.e 1/776570 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8489/790, 2562/1966.
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 8489/790,2562/1966?
Given fractions are 8489/790,2562/1966
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 8489/790,2562/1966, numerators are 8489,2562
Denominators are 790,1966
The GCF of 8489,2562 is 1 .
LCM of 790,1966 is 776570.
The greatest common factor of 8489/790,2562/1966 = [GCF of 8489,2562]/[LCM of 790,1966]= 1/776570
Therefore, the GCF of 8489/790,2562/1966 is 1/776570.
To find the highest common factor of 8489,2562, we have to find the factors of both numbers and list the highest common factor.
The factors of 8489 are 1, 13, 653, 8489
The factors of 2562 are 1, 2, 3, 6, 7, 14, 21, 42, 61, 122, 183, 366, 427, 854, 1281, 2562
The HCF of 8489,2562 is 1.
Lets's calculate GCF of 8489,2562
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8489,2562 By Matching Biggest Common Factor Method
Now, list down the factors of 8489
:1,13,653,8489
Now, list down the factors of 2562
:1,2,3,6,7,14,21,42,61,122,183,366,427,854,1281,2562
Greatest Common Factor
We found the factors 8489,2562 . The biggest common factor number is the GCF number.
So the greatest common factor 8489,2562 is 1.
Lets's calculate LCM of 790,1966
| 2 | 790, 1966 |
| 395, 983 |
∴ So the LCM of the given numbers is 2 x 395 x 983 = 776570
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/776570
Therefore, the GCF of Fractions 8489/790,2562/1966 is 1/776570
Least Common Multiple of 790,1966 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 790,1966 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(790,1966) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(790,1966) x common factors =2 x 1 = 2
LCM(790,1966) = ( 790 × 1966 ) / 2
LCM(790,1966) = 1553140 / 2
LCM(790,1966) = 776570
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FAQs on GCF of Fractions of 8489/790, 2562/1966
1. What is the HCF of 8489,2562?
The HCF of 8489,2562 is 1
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 8489/790, 2562/1966?
Answer: GCF of Numerators as per given numbers 8489/790, 2562/1966 is
GCF of Numerators i.e. for 8489,2562 is 1
LCM of denominators i.e. for 790,1966 is 776570.
Thus, GCF of Fractions is 1/776570.Finally, GCF of Fractions for 8489/790, 2562/1966 is 1/776570.