GCF of 1484/862, 5992/9221
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1484/862, 5992/9221 i.e 28/7948502 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1484/862, 5992/9221.
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 1484/862,5992/9221?
Given fractions are 1484/862,5992/9221
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 1484/862,5992/9221, numerators are 1484,5992
Denominators are 862,9221
The GCF of 1484,5992 is 28 .
LCM of 862,9221 is 7948502.
The greatest common factor of 1484/862,5992/9221 = [GCF of 1484,5992]/[LCM of 862,9221]= 28/7948502
Therefore, the GCF of 1484/862,5992/9221 is 28/7948502.
To find the highest common factor of 1484,5992, we have to find the factors of both numbers and list the highest common factor.
The factors of 1484 are 1, 2, 4, 7, 14, 28, 53, 106, 212, 371, 742, 1484
The factors of 5992 are 1, 2, 4, 7, 8, 14, 28, 56, 107, 214, 428, 749, 856, 1498, 2996, 5992
The HCF of 1484,5992 is 28.
Lets's calculate GCF of 1484,5992
| 2 | 1484, 5992 |
| 2 | 742, 2996 |
| 7 | 371, 1498 |
| 53, 214 |
∴ So the GCF of the given numbers is 2 x 2 x 7 = 28
Greatest Common Factor of 1484,5992 By Matching Biggest Common Factor Method
Now, list down the factors of 1484
:1,2,4,7,14,28,53,106,212,371,742,1484
Now, list down the factors of 5992
:1,2,4,7,8,14,28,56,107,214,428,749,856,1498,2996,5992
Greatest Common Factor
We found the factors 1484,5992 . The biggest common factor number is the GCF number.
So the greatest common factor 1484,5992 is 28.
Lets's calculate LCM of 862,9221
Given numbers has no common factors except 1. So, there LCM is their product i.e 7948502
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 28/7948502
Therefore, the GCF of Fractions 1484/862,5992/9221 is 28/7948502
Least Common Multiple of 862,9221 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 862,9221 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(862,9221) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(862,9221) x common factors =1 x 1 = 1
LCM(862,9221) = ( 862 × 9221 ) / 1
LCM(862,9221) = 7948502 / 1
LCM(862,9221) = 7948502
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FAQs on GCF of Fractions of 1484/862, 5992/9221
1. What is the HCF of 1484,5992?
The HCF of 1484,5992 is 28
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 1484/862, 5992/9221?
Answer: GCF of Numerators as per given numbers 1484/862, 5992/9221 is
GCF of Numerators i.e. for 1484,5992 is 28
LCM of denominators i.e. for 862,9221 is 7948502.
Thus, GCF of Fractions is 28/7948502.Finally, GCF of Fractions for 1484/862, 5992/9221 is 28/7948502.