GCF of 9735/142, 2628/3175
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9735/142, 2628/3175 i.e 3/450850 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9735/142, 2628/3175.
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 9735/142,2628/3175?
Given fractions are 9735/142,2628/3175
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 9735/142,2628/3175, numerators are 9735,2628
Denominators are 142,3175
The GCF of 9735,2628 is 3 .
LCM of 142,3175 is 450850.
The greatest common factor of 9735/142,2628/3175 = [GCF of 9735,2628]/[LCM of 142,3175]= 3/450850
Therefore, the GCF of 9735/142,2628/3175 is 3/450850.
To find the highest common factor of 9735,2628, we have to find the factors of both numbers and list the highest common factor.
The factors of 9735 are 1, 3, 5, 11, 15, 33, 55, 59, 165, 177, 295, 649, 885, 1947, 3245, 9735
The factors of 2628 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 73, 146, 219, 292, 438, 657, 876, 1314, 2628
The HCF of 9735,2628 is 3.
Lets's calculate GCF of 9735,2628
| 3 | 9735, 2628 |
| 3245, 876 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9735,2628 By Matching Biggest Common Factor Method
Now, list down the factors of 9735
:1,3,5,11,15,33,55,59,165,177,295,649,885,1947,3245,9735
Now, list down the factors of 2628
:1,2,3,4,6,9,12,18,36,73,146,219,292,438,657,876,1314,2628
Greatest Common Factor
We found the factors 9735,2628 . The biggest common factor number is the GCF number.
So the greatest common factor 9735,2628 is 3.
Lets's calculate LCM of 142,3175
Given numbers has no common factors except 1. So, there LCM is their product i.e 450850
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/450850
Therefore, the GCF of Fractions 9735/142,2628/3175 is 3/450850
Least Common Multiple of 142,3175 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 142,3175 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(142,3175) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(142,3175) x common factors =1 x 1 = 1
LCM(142,3175) = ( 142 × 3175 ) / 1
LCM(142,3175) = 450850 / 1
LCM(142,3175) = 450850
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FAQs on GCF of Fractions of 9735/142, 2628/3175
1. What is the HCF of 9735,2628?
The HCF of 9735,2628 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 9735/142, 2628/3175?
Answer: GCF of Numerators as per given numbers 9735/142, 2628/3175 is
GCF of Numerators i.e. for 9735,2628 is 3
LCM of denominators i.e. for 142,3175 is 450850.
Thus, GCF of Fractions is 3/450850.Finally, GCF of Fractions for 9735/142, 2628/3175 is 3/450850.