GCF of 2992/496, 1322/9538
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2992/496, 1322/9538 i.e 2/2365424 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2992/496, 1322/9538.
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 2992/496,1322/9538?
Given fractions are 2992/496,1322/9538
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 2992/496,1322/9538, numerators are 2992,1322
Denominators are 496,9538
The GCF of 2992,1322 is 2 .
LCM of 496,9538 is 2365424.
The greatest common factor of 2992/496,1322/9538 = [GCF of 2992,1322]/[LCM of 496,9538]= 2/2365424
Therefore, the GCF of 2992/496,1322/9538 is 2/2365424.
To find the highest common factor of 2992,1322, we have to find the factors of both numbers and list the highest common factor.
The factors of 2992 are 1, 2, 4, 8, 11, 16, 17, 22, 34, 44, 68, 88, 136, 176, 187, 272, 374, 748, 1496, 2992
The factors of 1322 are 1, 2, 661, 1322
The HCF of 2992,1322 is 2.
Lets's calculate GCF of 2992,1322
| 2 | 2992, 1322 |
| 1496, 661 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2992,1322 By Matching Biggest Common Factor Method
Now, list down the factors of 2992
:1,2,4,8,11,16,17,22,34,44,68,88,136,176,187,272,374,748,1496,2992
Now, list down the factors of 1322
:1,2,661,1322
Greatest Common Factor
We found the factors 2992,1322 . The biggest common factor number is the GCF number.
So the greatest common factor 2992,1322 is 2.
Lets's calculate LCM of 496,9538
| 2 | 496, 9538 |
| 248, 4769 |
∴ So the LCM of the given numbers is 2 x 248 x 4769 = 2365424
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2365424
Therefore, the GCF of Fractions 2992/496,1322/9538 is 2/2365424
Least Common Multiple of 496,9538 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 496,9538 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(496,9538) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(496,9538) x common factors =2 x 1 = 2
LCM(496,9538) = ( 496 × 9538 ) / 2
LCM(496,9538) = 4730848 / 2
LCM(496,9538) = 2365424
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2992/496, 1322/9538
1. What is the HCF of 2992,1322?
The HCF of 2992,1322 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 2992/496, 1322/9538?
Answer: GCF of Numerators as per given numbers 2992/496, 1322/9538 is
GCF of Numerators i.e. for 2992,1322 is 2
LCM of denominators i.e. for 496,9538 is 2365424.
Thus, GCF of Fractions is 2/2365424.Finally, GCF of Fractions for 2992/496, 1322/9538 is 2/2365424.