GCF of 1874/425, 7659/260
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1874/425, 7659/260 i.e 1/22100 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1874/425, 7659/260.
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 1874/425,7659/260?
Given fractions are 1874/425,7659/260
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 1874/425,7659/260, numerators are 1874,7659
Denominators are 425,260
The GCF of 1874,7659 is 1 .
LCM of 425,260 is 22100.
The greatest common factor of 1874/425,7659/260 = [GCF of 1874,7659]/[LCM of 425,260]= 1/22100
Therefore, the GCF of 1874/425,7659/260 is 1/22100.
To find the highest common factor of 1874,7659, we have to find the factors of both numbers and list the highest common factor.
The factors of 1874 are 1, 2, 937, 1874
The factors of 7659 are 1, 3, 9, 23, 37, 69, 111, 207, 333, 851, 2553, 7659
The HCF of 1874,7659 is 1.
Lets's calculate GCF of 1874,7659
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1874,7659 By Matching Biggest Common Factor Method
Now, list down the factors of 1874
:1,2,937,1874
Now, list down the factors of 7659
:1,3,9,23,37,69,111,207,333,851,2553,7659
Greatest Common Factor
We found the factors 1874,7659 . The biggest common factor number is the GCF number.
So the greatest common factor 1874,7659 is 1.
Lets's calculate LCM of 425,260
| 5 | 425, 260 |
| 85, 52 |
∴ So the LCM of the given numbers is 5 x 85 x 52 = 22100
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22100
Therefore, the GCF of Fractions 1874/425,7659/260 is 1/22100
Least Common Multiple of 425,260 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 425,260 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(425,260) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(425,260) x common factors =5 x 1 = 5
LCM(425,260) = ( 425 × 260 ) / 5
LCM(425,260) = 110500 / 5
LCM(425,260) = 22100
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FAQs on GCF of Fractions of 1874/425, 7659/260
1. What is the HCF of 1874,7659?
The HCF of 1874,7659 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 1874/425, 7659/260?
Answer: GCF of Numerators as per given numbers 1874/425, 7659/260 is
GCF of Numerators i.e. for 1874,7659 is 1
LCM of denominators i.e. for 425,260 is 22100.
Thus, GCF of Fractions is 1/22100.Finally, GCF of Fractions for 1874/425, 7659/260 is 1/22100.