GCF of 8859/972, 9441/202
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8859/972, 9441/202 i.e 3/98172 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8859/972, 9441/202.
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 8859/972,9441/202?
Given fractions are 8859/972,9441/202
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 8859/972,9441/202, numerators are 8859,9441
Denominators are 972,202
The GCF of 8859,9441 is 3 .
LCM of 972,202 is 98172.
The greatest common factor of 8859/972,9441/202 = [GCF of 8859,9441]/[LCM of 972,202]= 3/98172
Therefore, the GCF of 8859/972,9441/202 is 3/98172.
To find the highest common factor of 8859,9441, we have to find the factors of both numbers and list the highest common factor.
The factors of 8859 are 1, 3, 2953, 8859
The factors of 9441 are 1, 3, 9, 1049, 3147, 9441
The HCF of 8859,9441 is 3.
Lets's calculate GCF of 8859,9441
| 3 | 8859, 9441 |
| 2953, 3147 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8859,9441 By Matching Biggest Common Factor Method
Now, list down the factors of 8859
:1,3,2953,8859
Now, list down the factors of 9441
:1,3,9,1049,3147,9441
Greatest Common Factor
We found the factors 8859,9441 . The biggest common factor number is the GCF number.
So the greatest common factor 8859,9441 is 3.
Lets's calculate LCM of 972,202
| 2 | 972, 202 |
| 486, 101 |
∴ So the LCM of the given numbers is 2 x 486 x 101 = 98172
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/98172
Therefore, the GCF of Fractions 8859/972,9441/202 is 3/98172
Least Common Multiple of 972,202 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 972,202 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(972,202) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(972,202) x common factors =2 x 1 = 2
LCM(972,202) = ( 972 × 202 ) / 2
LCM(972,202) = 196344 / 2
LCM(972,202) = 98172
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FAQs on GCF of Fractions of 8859/972, 9441/202
1. What is the HCF of 8859,9441?
The HCF of 8859,9441 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 8859/972, 9441/202?
Answer: GCF of Numerators as per given numbers 8859/972, 9441/202 is
GCF of Numerators i.e. for 8859,9441 is 3
LCM of denominators i.e. for 972,202 is 98172.
Thus, GCF of Fractions is 3/98172.Finally, GCF of Fractions for 8859/972, 9441/202 is 3/98172.