GCF of 2228/206, 1560/987
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2228/206, 1560/987 i.e 4/203322 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2228/206, 1560/987.
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 2228/206,1560/987?
Given fractions are 2228/206,1560/987
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 2228/206,1560/987, numerators are 2228,1560
Denominators are 206,987
The GCF of 2228,1560 is 4 .
LCM of 206,987 is 203322.
The greatest common factor of 2228/206,1560/987 = [GCF of 2228,1560]/[LCM of 206,987]= 4/203322
Therefore, the GCF of 2228/206,1560/987 is 4/203322.
To find the highest common factor of 2228,1560, we have to find the factors of both numbers and list the highest common factor.
The factors of 2228 are 1, 2, 4, 557, 1114, 2228
The factors of 1560 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 20, 24, 26, 30, 39, 40, 52, 60, 65, 78, 104, 120, 130, 156, 195, 260, 312, 390, 520, 780, 1560
The HCF of 2228,1560 is 4.
Lets's calculate GCF of 2228,1560
| 2 | 2228, 1560 |
| 2 | 1114, 780 |
| 557, 390 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 2228,1560 By Matching Biggest Common Factor Method
Now, list down the factors of 2228
:1,2,4,557,1114,2228
Now, list down the factors of 1560
:1,2,3,4,5,6,8,10,12,13,15,20,24,26,30,39,40,52,60,65,78,104,120,130,156,195,260,312,390,520,780,1560
Greatest Common Factor
We found the factors 2228,1560 . The biggest common factor number is the GCF number.
So the greatest common factor 2228,1560 is 4.
Lets's calculate LCM of 206,987
Given numbers has no common factors except 1. So, there LCM is their product i.e 203322
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/203322
Therefore, the GCF of Fractions 2228/206,1560/987 is 4/203322
Least Common Multiple of 206,987 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 206,987 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(206,987) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(206,987) x common factors =1 x 1 = 1
LCM(206,987) = ( 206 × 987 ) / 1
LCM(206,987) = 203322 / 1
LCM(206,987) = 203322
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FAQs on GCF of Fractions of 2228/206, 1560/987
1. What is the HCF of 2228,1560?
The HCF of 2228,1560 is 4
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 2228/206, 1560/987?
Answer: GCF of Numerators as per given numbers 2228/206, 1560/987 is
GCF of Numerators i.e. for 2228,1560 is 4
LCM of denominators i.e. for 206,987 is 203322.
Thus, GCF of Fractions is 4/203322.Finally, GCF of Fractions for 2228/206, 1560/987 is 4/203322.