GCF of 1861/746, 9876/9625
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1861/746, 9876/9625 i.e 1/7180250 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1861/746, 9876/9625.
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 1861/746,9876/9625?
Given fractions are 1861/746,9876/9625
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 1861/746,9876/9625, numerators are 1861,9876
Denominators are 746,9625
The GCF of 1861,9876 is 1 .
LCM of 746,9625 is 7180250.
The greatest common factor of 1861/746,9876/9625 = [GCF of 1861,9876]/[LCM of 746,9625]= 1/7180250
Therefore, the GCF of 1861/746,9876/9625 is 1/7180250.
To find the highest common factor of 1861,9876, we have to find the factors of both numbers and list the highest common factor.
The factors of 1861 are 1, 1861
The factors of 9876 are 1, 2, 3, 4, 6, 12, 823, 1646, 2469, 3292, 4938, 9876
The HCF of 1861,9876 is 1.
Lets's calculate GCF of 1861,9876
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1861,9876 By Matching Biggest Common Factor Method
Now, list down the factors of 1861
:1,1861
Now, list down the factors of 9876
:1,2,3,4,6,12,823,1646,2469,3292,4938,9876
Greatest Common Factor
We found the factors 1861,9876 . The biggest common factor number is the GCF number.
So the greatest common factor 1861,9876 is 1.
Lets's calculate LCM of 746,9625
Given numbers has no common factors except 1. So, there LCM is their product i.e 7180250
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7180250
Therefore, the GCF of Fractions 1861/746,9876/9625 is 1/7180250
Least Common Multiple of 746,9625 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 746,9625 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(746,9625) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(746,9625) x common factors =1 x 1 = 1
LCM(746,9625) = ( 746 × 9625 ) / 1
LCM(746,9625) = 7180250 / 1
LCM(746,9625) = 7180250
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1861/746, 9876/9625
1. What is the HCF of 1861,9876?
The HCF of 1861,9876 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 1861/746, 9876/9625?
Answer: GCF of Numerators as per given numbers 1861/746, 9876/9625 is
GCF of Numerators i.e. for 1861,9876 is 1
LCM of denominators i.e. for 746,9625 is 7180250.
Thus, GCF of Fractions is 1/7180250.Finally, GCF of Fractions for 1861/746, 9876/9625 is 1/7180250.