GCF of 6876/250, 1325/705
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6876/250, 1325/705 i.e 1/35250 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6876/250, 1325/705.
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 6876/250,1325/705?
Given fractions are 6876/250,1325/705
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 6876/250,1325/705, numerators are 6876,1325
Denominators are 250,705
The GCF of 6876,1325 is 1 .
LCM of 250,705 is 35250.
The greatest common factor of 6876/250,1325/705 = [GCF of 6876,1325]/[LCM of 250,705]= 1/35250
Therefore, the GCF of 6876/250,1325/705 is 1/35250.
To find the highest common factor of 6876,1325, we have to find the factors of both numbers and list the highest common factor.
The factors of 6876 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 191, 382, 573, 764, 1146, 1719, 2292, 3438, 6876
The factors of 1325 are 1, 5, 25, 53, 265, 1325
The HCF of 6876,1325 is 1.
Lets's calculate GCF of 6876,1325
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6876,1325 By Matching Biggest Common Factor Method
Now, list down the factors of 6876
:1,2,3,4,6,9,12,18,36,191,382,573,764,1146,1719,2292,3438,6876
Now, list down the factors of 1325
:1,5,25,53,265,1325
Greatest Common Factor
We found the factors 6876,1325 . The biggest common factor number is the GCF number.
So the greatest common factor 6876,1325 is 1.
Lets's calculate LCM of 250,705
| 5 | 250, 705 |
| 50, 141 |
∴ So the LCM of the given numbers is 5 x 50 x 141 = 35250
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35250
Therefore, the GCF of Fractions 6876/250,1325/705 is 1/35250
Least Common Multiple of 250,705 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 250,705 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(250,705) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(250,705) x common factors =5 x 1 = 5
LCM(250,705) = ( 250 × 705 ) / 5
LCM(250,705) = 176250 / 5
LCM(250,705) = 35250
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FAQs on GCF of Fractions of 6876/250, 1325/705
1. What is the HCF of 6876,1325?
The HCF of 6876,1325 is 1
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 6876/250, 1325/705?
Answer: GCF of Numerators as per given numbers 6876/250, 1325/705 is
GCF of Numerators i.e. for 6876,1325 is 1
LCM of denominators i.e. for 250,705 is 35250.
Thus, GCF of Fractions is 1/35250.Finally, GCF of Fractions for 6876/250, 1325/705 is 1/35250.