GCF of 876/46, 584/6187
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 876/46, 584/6187 i.e 292/12374 easily. The following is the detailed procedure to determine the greatest common factor of fractions 876/46, 584/6187.
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 876/46,584/6187?
Given fractions are 876/46,584/6187
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 876/46,584/6187, numerators are 876,584
Denominators are 46,6187
The GCF of 876,584 is 292 .
LCM of 46,6187 is 12374.
The greatest common factor of 876/46,584/6187 = [GCF of 876,584]/[LCM of 46,6187]= 292/12374
Therefore, the GCF of 876/46,584/6187 is 292/12374.
To find the highest common factor of 876,584, we have to find the factors of both numbers and list the highest common factor.
The factors of 876 are 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
The factors of 584 are 1, 2, 4, 8, 73, 146, 292, 584
The HCF of 876,584 is 292.
Lets's calculate GCF of 876,584
| 2 | 876, 584 |
| 2 | 438, 292 |
| 73 | 219, 146 |
| 3, 2 |
∴ So the GCF of the given numbers is 2 x 2 x 73 = 292
Greatest Common Factor of 876,584 By Matching Biggest Common Factor Method
Now, list down the factors of 876
:1,2,3,4,6,12,73,146,219,292,438,876
Now, list down the factors of 584
:1,2,4,8,73,146,292,584
Greatest Common Factor
We found the factors 876,584 . The biggest common factor number is the GCF number.
So the greatest common factor 876,584 is 292.
Lets's calculate LCM of 46,6187
| 23 | 46, 6187 |
| 2, 269 |
∴ So the LCM of the given numbers is 23 x 2 x 269 = 12374
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 292/12374
Therefore, the GCF of Fractions 876/46,584/6187 is 292/12374
Least Common Multiple of 46,6187 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 46,6187 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(46,6187) = 23
common factors(in case of two or more numbers have common factors) = 1
GCF(46,6187) x common factors =23 x 1 = 23
LCM(46,6187) = ( 46 × 6187 ) / 23
LCM(46,6187) = 284602 / 23
LCM(46,6187) = 12374
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FAQs on GCF of Fractions of 876/46, 584/6187
1. What is the HCF of 876,584?
The HCF of 876,584 is 292
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 876/46, 584/6187?
Answer: GCF of Numerators as per given numbers 876/46, 584/6187 is
GCF of Numerators i.e. for 876,584 is 292
LCM of denominators i.e. for 46,6187 is 12374.
Thus, GCF of Fractions is 292/12374.Finally, GCF of Fractions for 876/46, 584/6187 is 292/12374.