GCF of 1292/455, 8578/5789
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1292/455, 8578/5789 i.e 2/376285 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1292/455, 8578/5789.
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 1292/455,8578/5789?
Given fractions are 1292/455,8578/5789
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 1292/455,8578/5789, numerators are 1292,8578
Denominators are 455,5789
The GCF of 1292,8578 is 2 .
LCM of 455,5789 is 376285.
The greatest common factor of 1292/455,8578/5789 = [GCF of 1292,8578]/[LCM of 455,5789]= 2/376285
Therefore, the GCF of 1292/455,8578/5789 is 2/376285.
To find the highest common factor of 1292,8578, we have to find the factors of both numbers and list the highest common factor.
The factors of 1292 are 1, 2, 4, 17, 19, 34, 38, 68, 76, 323, 646, 1292
The factors of 8578 are 1, 2, 4289, 8578
The HCF of 1292,8578 is 2.
Lets's calculate GCF of 1292,8578
| 2 | 1292, 8578 |
| 646, 4289 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1292,8578 By Matching Biggest Common Factor Method
Now, list down the factors of 1292
:1,2,4,17,19,34,38,68,76,323,646,1292
Now, list down the factors of 8578
:1,2,4289,8578
Greatest Common Factor
We found the factors 1292,8578 . The biggest common factor number is the GCF number.
So the greatest common factor 1292,8578 is 2.
Lets's calculate LCM of 455,5789
| 7 | 455, 5789 |
| 65, 827 |
∴ So the LCM of the given numbers is 7 x 65 x 827 = 376285
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/376285
Therefore, the GCF of Fractions 1292/455,8578/5789 is 2/376285
Least Common Multiple of 455,5789 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 455,5789 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(455,5789) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(455,5789) x common factors =7 x 1 = 7
LCM(455,5789) = ( 455 × 5789 ) / 7
LCM(455,5789) = 2633995 / 7
LCM(455,5789) = 376285
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FAQs on GCF of Fractions of 1292/455, 8578/5789
1. What is the HCF of 1292,8578?
The HCF of 1292,8578 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 1292/455, 8578/5789?
Answer: GCF of Numerators as per given numbers 1292/455, 8578/5789 is
GCF of Numerators i.e. for 1292,8578 is 2
LCM of denominators i.e. for 455,5789 is 376285.
Thus, GCF of Fractions is 2/376285.Finally, GCF of Fractions for 1292/455, 8578/5789 is 2/376285.