GCF of 7125/883, 5874/437
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7125/883, 5874/437 i.e 3/385871 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7125/883, 5874/437.
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 7125/883,5874/437?
Given fractions are 7125/883,5874/437
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 7125/883,5874/437, numerators are 7125,5874
Denominators are 883,437
The GCF of 7125,5874 is 3 .
LCM of 883,437 is 385871.
The greatest common factor of 7125/883,5874/437 = [GCF of 7125,5874]/[LCM of 883,437]= 3/385871
Therefore, the GCF of 7125/883,5874/437 is 3/385871.
To find the highest common factor of 7125,5874, we have to find the factors of both numbers and list the highest common factor.
The factors of 7125 are 1, 3, 5, 15, 19, 25, 57, 75, 95, 125, 285, 375, 475, 1425, 2375, 7125
The factors of 5874 are 1, 2, 3, 6, 11, 22, 33, 66, 89, 178, 267, 534, 979, 1958, 2937, 5874
The HCF of 7125,5874 is 3.
Lets's calculate GCF of 7125,5874
| 3 | 7125, 5874 |
| 2375, 1958 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7125,5874 By Matching Biggest Common Factor Method
Now, list down the factors of 7125
:1,3,5,15,19,25,57,75,95,125,285,375,475,1425,2375,7125
Now, list down the factors of 5874
:1,2,3,6,11,22,33,66,89,178,267,534,979,1958,2937,5874
Greatest Common Factor
We found the factors 7125,5874 . The biggest common factor number is the GCF number.
So the greatest common factor 7125,5874 is 3.
Lets's calculate LCM of 883,437
Given numbers has no common factors except 1. So, there LCM is their product i.e 385871
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/385871
Therefore, the GCF of Fractions 7125/883,5874/437 is 3/385871
Least Common Multiple of 883,437 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 883,437 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(883,437) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(883,437) x common factors =1 x 1 = 1
LCM(883,437) = ( 883 × 437 ) / 1
LCM(883,437) = 385871 / 1
LCM(883,437) = 385871
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FAQs on GCF of Fractions of 7125/883, 5874/437
1. What is the HCF of 7125,5874?
The HCF of 7125,5874 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 7125/883, 5874/437?
Answer: GCF of Numerators as per given numbers 7125/883, 5874/437 is
GCF of Numerators i.e. for 7125,5874 is 3
LCM of denominators i.e. for 883,437 is 385871.
Thus, GCF of Fractions is 3/385871.Finally, GCF of Fractions for 7125/883, 5874/437 is 3/385871.