GCF of 9014/701, 2132/2818
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9014/701, 2132/2818 i.e 2/1975418 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9014/701, 2132/2818.
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 9014/701,2132/2818?
Given fractions are 9014/701,2132/2818
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 9014/701,2132/2818, numerators are 9014,2132
Denominators are 701,2818
The GCF of 9014,2132 is 2 .
LCM of 701,2818 is 1975418.
The greatest common factor of 9014/701,2132/2818 = [GCF of 9014,2132]/[LCM of 701,2818]= 2/1975418
Therefore, the GCF of 9014/701,2132/2818 is 2/1975418.
To find the highest common factor of 9014,2132, we have to find the factors of both numbers and list the highest common factor.
The factors of 9014 are 1, 2, 4507, 9014
The factors of 2132 are 1, 2, 4, 13, 26, 41, 52, 82, 164, 533, 1066, 2132
The HCF of 9014,2132 is 2.
Lets's calculate GCF of 9014,2132
| 2 | 9014, 2132 |
| 4507, 1066 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9014,2132 By Matching Biggest Common Factor Method
Now, list down the factors of 9014
:1,2,4507,9014
Now, list down the factors of 2132
:1,2,4,13,26,41,52,82,164,533,1066,2132
Greatest Common Factor
We found the factors 9014,2132 . The biggest common factor number is the GCF number.
So the greatest common factor 9014,2132 is 2.
Lets's calculate LCM of 701,2818
Given numbers has no common factors except 1. So, there LCM is their product i.e 1975418
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1975418
Therefore, the GCF of Fractions 9014/701,2132/2818 is 2/1975418
Least Common Multiple of 701,2818 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 701,2818 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(701,2818) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(701,2818) x common factors =1 x 1 = 1
LCM(701,2818) = ( 701 × 2818 ) / 1
LCM(701,2818) = 1975418 / 1
LCM(701,2818) = 1975418
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FAQs on GCF of Fractions of 9014/701, 2132/2818
1. What is the HCF of 9014,2132?
The HCF of 9014,2132 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 9014/701, 2132/2818?
Answer: GCF of Numerators as per given numbers 9014/701, 2132/2818 is
GCF of Numerators i.e. for 9014,2132 is 2
LCM of denominators i.e. for 701,2818 is 1975418.
Thus, GCF of Fractions is 2/1975418.Finally, GCF of Fractions for 9014/701, 2132/2818 is 2/1975418.