GCF of 9612/196, 2210/2618
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9612/196, 2210/2618 i.e 2/36652 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9612/196, 2210/2618.
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 9612/196,2210/2618?
Given fractions are 9612/196,2210/2618
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 9612/196,2210/2618, numerators are 9612,2210
Denominators are 196,2618
The GCF of 9612,2210 is 2 .
LCM of 196,2618 is 36652.
The greatest common factor of 9612/196,2210/2618 = [GCF of 9612,2210]/[LCM of 196,2618]= 2/36652
Therefore, the GCF of 9612/196,2210/2618 is 2/36652.
To find the highest common factor of 9612,2210, we have to find the factors of both numbers and list the highest common factor.
The factors of 9612 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 89, 108, 178, 267, 356, 534, 801, 1068, 1602, 2403, 3204, 4806, 9612
The factors of 2210 are 1, 2, 5, 10, 13, 17, 26, 34, 65, 85, 130, 170, 221, 442, 1105, 2210
The HCF of 9612,2210 is 2.
Lets's calculate GCF of 9612,2210
| 2 | 9612, 2210 |
| 4806, 1105 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9612,2210 By Matching Biggest Common Factor Method
Now, list down the factors of 9612
:1,2,3,4,6,9,12,18,27,36,54,89,108,178,267,356,534,801,1068,1602,2403,3204,4806,9612
Now, list down the factors of 2210
:1,2,5,10,13,17,26,34,65,85,130,170,221,442,1105,2210
Greatest Common Factor
We found the factors 9612,2210 . The biggest common factor number is the GCF number.
So the greatest common factor 9612,2210 is 2.
Lets's calculate LCM of 196,2618
| 2 | 196, 2618 |
| 7 | 98, 1309 |
| 14, 187 |
∴ So the LCM of the given numbers is 2 x 7 x 14 x 187 = 36652
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/36652
Therefore, the GCF of Fractions 9612/196,2210/2618 is 2/36652
Least Common Multiple of 196,2618 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 196,2618 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(196,2618) = 14
common factors(in case of two or more numbers have common factors) = 1
GCF(196,2618) x common factors =14 x 1 = 14
LCM(196,2618) = ( 196 × 2618 ) / 14
LCM(196,2618) = 513128 / 14
LCM(196,2618) = 36652
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FAQs on GCF of Fractions of 9612/196, 2210/2618
1. What is the HCF of 9612,2210?
The HCF of 9612,2210 is 2
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 9612/196, 2210/2618?
Answer: GCF of Numerators as per given numbers 9612/196, 2210/2618 is
GCF of Numerators i.e. for 9612,2210 is 2
LCM of denominators i.e. for 196,2618 is 36652.
Thus, GCF of Fractions is 2/36652.Finally, GCF of Fractions for 9612/196, 2210/2618 is 2/36652.