GCF of 9685/681, 1750/6228
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9685/681, 1750/6228 i.e 5/1413756 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9685/681, 1750/6228.
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 9685/681,1750/6228?
Given fractions are 9685/681,1750/6228
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 9685/681,1750/6228, numerators are 9685,1750
Denominators are 681,6228
The GCF of 9685,1750 is 5 .
LCM of 681,6228 is 1413756.
The greatest common factor of 9685/681,1750/6228 = [GCF of 9685,1750]/[LCM of 681,6228]= 5/1413756
Therefore, the GCF of 9685/681,1750/6228 is 5/1413756.
To find the highest common factor of 9685,1750, we have to find the factors of both numbers and list the highest common factor.
The factors of 9685 are 1, 5, 13, 65, 149, 745, 1937, 9685
The factors of 1750 are 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 125, 175, 250, 350, 875, 1750
The HCF of 9685,1750 is 5.
Lets's calculate GCF of 9685,1750
| 5 | 9685, 1750 |
| 1937, 350 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 9685,1750 By Matching Biggest Common Factor Method
Now, list down the factors of 9685
:1,5,13,65,149,745,1937,9685
Now, list down the factors of 1750
:1,2,5,7,10,14,25,35,50,70,125,175,250,350,875,1750
Greatest Common Factor
We found the factors 9685,1750 . The biggest common factor number is the GCF number.
So the greatest common factor 9685,1750 is 5.
Lets's calculate LCM of 681,6228
| 3 | 681, 6228 |
| 227, 2076 |
∴ So the LCM of the given numbers is 3 x 227 x 2076 = 1413756
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1413756
Therefore, the GCF of Fractions 9685/681,1750/6228 is 5/1413756
Least Common Multiple of 681,6228 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 681,6228 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(681,6228) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(681,6228) x common factors =3 x 1 = 3
LCM(681,6228) = ( 681 × 6228 ) / 3
LCM(681,6228) = 4241268 / 3
LCM(681,6228) = 1413756
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FAQs on GCF of Fractions of 9685/681, 1750/6228
1. What is the HCF of 9685,1750?
The HCF of 9685,1750 is 5
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 9685/681, 1750/6228?
Answer: GCF of Numerators as per given numbers 9685/681, 1750/6228 is
GCF of Numerators i.e. for 9685,1750 is 5
LCM of denominators i.e. for 681,6228 is 1413756.
Thus, GCF of Fractions is 5/1413756.Finally, GCF of Fractions for 9685/681, 1750/6228 is 5/1413756.