GCF of 2334/532, 7112/5585
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2334/532, 7112/5585 i.e 2/2971220 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2334/532, 7112/5585.
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 2334/532,7112/5585?
Given fractions are 2334/532,7112/5585
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 2334/532,7112/5585, numerators are 2334,7112
Denominators are 532,5585
The GCF of 2334,7112 is 2 .
LCM of 532,5585 is 2971220.
The greatest common factor of 2334/532,7112/5585 = [GCF of 2334,7112]/[LCM of 532,5585]= 2/2971220
Therefore, the GCF of 2334/532,7112/5585 is 2/2971220.
To find the highest common factor of 2334,7112, we have to find the factors of both numbers and list the highest common factor.
The factors of 2334 are 1, 2, 3, 6, 389, 778, 1167, 2334
The factors of 7112 are 1, 2, 4, 7, 8, 14, 28, 56, 127, 254, 508, 889, 1016, 1778, 3556, 7112
The HCF of 2334,7112 is 2.
Lets's calculate GCF of 2334,7112
| 2 | 2334, 7112 |
| 1167, 3556 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2334,7112 By Matching Biggest Common Factor Method
Now, list down the factors of 2334
:1,2,3,6,389,778,1167,2334
Now, list down the factors of 7112
:1,2,4,7,8,14,28,56,127,254,508,889,1016,1778,3556,7112
Greatest Common Factor
We found the factors 2334,7112 . The biggest common factor number is the GCF number.
So the greatest common factor 2334,7112 is 2.
Lets's calculate LCM of 532,5585
Given numbers has no common factors except 1. So, there LCM is their product i.e 2971220
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2971220
Therefore, the GCF of Fractions 2334/532,7112/5585 is 2/2971220
Least Common Multiple of 532,5585 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 532,5585 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(532,5585) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(532,5585) x common factors =1 x 1 = 1
LCM(532,5585) = ( 532 × 5585 ) / 1
LCM(532,5585) = 2971220 / 1
LCM(532,5585) = 2971220
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FAQs on GCF of Fractions of 2334/532, 7112/5585
1. What is the HCF of 2334,7112?
The HCF of 2334,7112 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 2334/532, 7112/5585?
Answer: GCF of Numerators as per given numbers 2334/532, 7112/5585 is
GCF of Numerators i.e. for 2334,7112 is 2
LCM of denominators i.e. for 532,5585 is 2971220.
Thus, GCF of Fractions is 2/2971220.Finally, GCF of Fractions for 2334/532, 7112/5585 is 2/2971220.