GCF of 913/79, 498/869
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 913/79, 498/869 i.e 83/869 easily. The following is the detailed procedure to determine the greatest common factor of fractions 913/79, 498/869.
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 913/79,498/869?
Given fractions are 913/79,498/869
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 913/79,498/869, numerators are 913,498
Denominators are 79,869
The GCF of 913,498 is 83 .
LCM of 79,869 is 869.
The greatest common factor of 913/79,498/869 = [GCF of 913,498]/[LCM of 79,869]= 83/869
Therefore, the GCF of 913/79,498/869 is 83/869.
To find the highest common factor of 913,498, we have to find the factors of both numbers and list the highest common factor.
The factors of 913 are 1, 11, 83, 913
The factors of 498 are 1, 2, 3, 6, 83, 166, 249, 498
The HCF of 913,498 is 83.
Lets's calculate GCF of 913,498
| 83 | 913, 498 |
| 11, 6 |
∴ So the GCF of the given numbers is 83 = 83
Greatest Common Factor of 913,498 By Matching Biggest Common Factor Method
Now, list down the factors of 913
:1,11,83,913
Now, list down the factors of 498
:1,2,3,6,83,166,249,498
Greatest Common Factor
We found the factors 913,498 . The biggest common factor number is the GCF number.
So the greatest common factor 913,498 is 83.
Lets's calculate LCM of 79,869
| 79 | 79, 869 |
| 1, 11 |
∴ So the LCM of the given numbers is 79 x 1 x 11 = 869
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 83/869
Therefore, the GCF of Fractions 913/79,498/869 is 83/869
Least Common Multiple of 79,869 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 79,869 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(79,869) = 79
common factors(in case of two or more numbers have common factors) = 1
GCF(79,869) x common factors =79 x 1 = 79
LCM(79,869) = ( 79 × 869 ) / 79
LCM(79,869) = 68651 / 79
LCM(79,869) = 869
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FAQs on GCF of Fractions of 913/79, 498/869
1. What is the HCF of 913,498?
The HCF of 913,498 is 83
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 913/79, 498/869?
Answer: GCF of Numerators as per given numbers 913/79, 498/869 is
GCF of Numerators i.e. for 913,498 is 83
LCM of denominators i.e. for 79,869 is 869.
Thus, GCF of Fractions is 83/869.Finally, GCF of Fractions for 913/79, 498/869 is 83/869.