GCF of 2190/428, 2864/348
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2190/428, 2864/348 i.e 2/37236 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2190/428, 2864/348.
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 2190/428,2864/348?
Given fractions are 2190/428,2864/348
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 2190/428,2864/348, numerators are 2190,2864
Denominators are 428,348
The GCF of 2190,2864 is 2 .
LCM of 428,348 is 37236.
The greatest common factor of 2190/428,2864/348 = [GCF of 2190,2864]/[LCM of 428,348]= 2/37236
Therefore, the GCF of 2190/428,2864/348 is 2/37236.
To find the highest common factor of 2190,2864, we have to find the factors of both numbers and list the highest common factor.
The factors of 2190 are 1, 2, 3, 5, 6, 10, 15, 30, 73, 146, 219, 365, 438, 730, 1095, 2190
The factors of 2864 are 1, 2, 4, 8, 16, 179, 358, 716, 1432, 2864
The HCF of 2190,2864 is 2.
Lets's calculate GCF of 2190,2864
| 2 | 2190, 2864 |
| 1095, 1432 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2190,2864 By Matching Biggest Common Factor Method
Now, list down the factors of 2190
:1,2,3,5,6,10,15,30,73,146,219,365,438,730,1095,2190
Now, list down the factors of 2864
:1,2,4,8,16,179,358,716,1432,2864
Greatest Common Factor
We found the factors 2190,2864 . The biggest common factor number is the GCF number.
So the greatest common factor 2190,2864 is 2.
Lets's calculate LCM of 428,348
| 2 | 428, 348 |
| 2 | 214, 174 |
| 107, 87 |
∴ So the LCM of the given numbers is 2 x 2 x 107 x 87 = 37236
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/37236
Therefore, the GCF of Fractions 2190/428,2864/348 is 2/37236
Least Common Multiple of 428,348 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 428,348 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(428,348) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(428,348) x common factors =4 x 1 = 4
LCM(428,348) = ( 428 × 348 ) / 4
LCM(428,348) = 148944 / 4
LCM(428,348) = 37236
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FAQs on GCF of Fractions of 2190/428, 2864/348
1. What is the HCF of 2190,2864?
The HCF of 2190,2864 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 2190/428, 2864/348?
Answer: GCF of Numerators as per given numbers 2190/428, 2864/348 is
GCF of Numerators i.e. for 2190,2864 is 2
LCM of denominators i.e. for 428,348 is 37236.
Thus, GCF of Fractions is 2/37236.Finally, GCF of Fractions for 2190/428, 2864/348 is 2/37236.