GCF of 876/38, 838/321
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 876/38, 838/321 i.e 2/12198 easily. The following is the detailed procedure to determine the greatest common factor of fractions 876/38, 838/321.
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 876/38,838/321?
Given fractions are 876/38,838/321
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 876/38,838/321, numerators are 876,838
Denominators are 38,321
The GCF of 876,838 is 2 .
LCM of 38,321 is 12198.
The greatest common factor of 876/38,838/321 = [GCF of 876,838]/[LCM of 38,321]= 2/12198
Therefore, the GCF of 876/38,838/321 is 2/12198.
To find the highest common factor of 876,838, 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 838 are 1, 2, 419, 838
The HCF of 876,838 is 2.
Lets's calculate GCF of 876,838
| 2 | 876, 838 |
| 438, 419 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 876,838 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 838
:1,2,419,838
Greatest Common Factor
We found the factors 876,838 . The biggest common factor number is the GCF number.
So the greatest common factor 876,838 is 2.
Lets's calculate LCM of 38,321
Given numbers has no common factors except 1. So, there LCM is their product i.e 12198
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/12198
Therefore, the GCF of Fractions 876/38,838/321 is 2/12198
Least Common Multiple of 38,321 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 38,321 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(38,321) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(38,321) x common factors =1 x 1 = 1
LCM(38,321) = ( 38 × 321 ) / 1
LCM(38,321) = 12198 / 1
LCM(38,321) = 12198
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FAQs on GCF of Fractions of 876/38, 838/321
1. What is the HCF of 876,838?
The HCF of 876,838 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 876/38, 838/321?
Answer: GCF of Numerators as per given numbers 876/38, 838/321 is
GCF of Numerators i.e. for 876,838 is 2
LCM of denominators i.e. for 38,321 is 12198.
Thus, GCF of Fractions is 2/12198.Finally, GCF of Fractions for 876/38, 838/321 is 2/12198.