GCF of 876/715, 1749/380
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 876/715, 1749/380 i.e 3/54340 easily. The following is the detailed procedure to determine the greatest common factor of fractions 876/715, 1749/380.
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 876/715,1749/380?
Given fractions are 876/715,1749/380
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 876/715,1749/380, numerators are 876,1749
Denominators are 715,380
The GCF of 876,1749 is 3 .
LCM of 715,380 is 54340.
The greatest common factor of 876/715,1749/380 = [GCF of 876,1749]/[LCM of 715,380]= 3/54340
Therefore, the GCF of 876/715,1749/380 is 3/54340.
To find the highest common factor of 876,1749, 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 1749 are 1, 3, 11, 33, 53, 159, 583, 1749
The HCF of 876,1749 is 3.
Lets's calculate GCF of 876,1749
| 3 | 876, 1749 |
| 292, 583 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 876,1749 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 1749
:1,3,11,33,53,159,583,1749
Greatest Common Factor
We found the factors 876,1749 . The biggest common factor number is the GCF number.
So the greatest common factor 876,1749 is 3.
Lets's calculate LCM of 715,380
| 5 | 715, 380 |
| 143, 76 |
∴ So the LCM of the given numbers is 5 x 143 x 76 = 54340
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/54340
Therefore, the GCF of Fractions 876/715,1749/380 is 3/54340
Least Common Multiple of 715,380 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 715,380 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(715,380) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(715,380) x common factors =5 x 1 = 5
LCM(715,380) = ( 715 × 380 ) / 5
LCM(715,380) = 271700 / 5
LCM(715,380) = 54340
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FAQs on GCF of Fractions of 876/715, 1749/380
1. What is the HCF of 876,1749?
The HCF of 876,1749 is 3
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 876/715, 1749/380?
Answer: GCF of Numerators as per given numbers 876/715, 1749/380 is
GCF of Numerators i.e. for 876,1749 is 3
LCM of denominators i.e. for 715,380 is 54340.
Thus, GCF of Fractions is 3/54340.Finally, GCF of Fractions for 876/715, 1749/380 is 3/54340.