GCF of 689/122, 8762/491
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 689/122, 8762/491 i.e 13/59902 easily. The following is the detailed procedure to determine the greatest common factor of fractions 689/122, 8762/491.
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 689/122,8762/491?
Given fractions are 689/122,8762/491
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 689/122,8762/491, numerators are 689,8762
Denominators are 122,491
The GCF of 689,8762 is 13 .
LCM of 122,491 is 59902.
The greatest common factor of 689/122,8762/491 = [GCF of 689,8762]/[LCM of 122,491]= 13/59902
Therefore, the GCF of 689/122,8762/491 is 13/59902.
To find the highest common factor of 689,8762, we have to find the factors of both numbers and list the highest common factor.
The factors of 689 are 1, 13, 53, 689
The factors of 8762 are 1, 2, 13, 26, 337, 674, 4381, 8762
The HCF of 689,8762 is 13.
Lets's calculate GCF of 689,8762
| 13 | 689, 8762 |
| 53, 674 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 689,8762 By Matching Biggest Common Factor Method
Now, list down the factors of 689
:1,13,53,689
Now, list down the factors of 8762
:1,2,13,26,337,674,4381,8762
Greatest Common Factor
We found the factors 689,8762 . The biggest common factor number is the GCF number.
So the greatest common factor 689,8762 is 13.
Lets's calculate LCM of 122,491
Given numbers has no common factors except 1. So, there LCM is their product i.e 59902
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/59902
Therefore, the GCF of Fractions 689/122,8762/491 is 13/59902
Least Common Multiple of 122,491 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 122,491 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(122,491) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(122,491) x common factors =1 x 1 = 1
LCM(122,491) = ( 122 × 491 ) / 1
LCM(122,491) = 59902 / 1
LCM(122,491) = 59902
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FAQs on GCF of Fractions of 689/122, 8762/491
1. What is the HCF of 689,8762?
The HCF of 689,8762 is 13
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 689/122, 8762/491?
Answer: GCF of Numerators as per given numbers 689/122, 8762/491 is
GCF of Numerators i.e. for 689,8762 is 13
LCM of denominators i.e. for 122,491 is 59902.
Thus, GCF of Fractions is 13/59902.Finally, GCF of Fractions for 689/122, 8762/491 is 13/59902.