GCF of 1821/278, 8688/3420
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1821/278, 8688/3420 i.e 3/475380 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1821/278, 8688/3420.
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 1821/278,8688/3420?
Given fractions are 1821/278,8688/3420
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 1821/278,8688/3420, numerators are 1821,8688
Denominators are 278,3420
The GCF of 1821,8688 is 3 .
LCM of 278,3420 is 475380.
The greatest common factor of 1821/278,8688/3420 = [GCF of 1821,8688]/[LCM of 278,3420]= 3/475380
Therefore, the GCF of 1821/278,8688/3420 is 3/475380.
To find the highest common factor of 1821,8688, we have to find the factors of both numbers and list the highest common factor.
The factors of 1821 are 1, 3, 607, 1821
The factors of 8688 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 181, 362, 543, 724, 1086, 1448, 2172, 2896, 4344, 8688
The HCF of 1821,8688 is 3.
Lets's calculate GCF of 1821,8688
| 3 | 1821, 8688 |
| 607, 2896 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1821,8688 By Matching Biggest Common Factor Method
Now, list down the factors of 1821
:1,3,607,1821
Now, list down the factors of 8688
:1,2,3,4,6,8,12,16,24,48,181,362,543,724,1086,1448,2172,2896,4344,8688
Greatest Common Factor
We found the factors 1821,8688 . The biggest common factor number is the GCF number.
So the greatest common factor 1821,8688 is 3.
Lets's calculate LCM of 278,3420
| 2 | 278, 3420 |
| 139, 1710 |
∴ So the LCM of the given numbers is 2 x 139 x 1710 = 475380
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/475380
Therefore, the GCF of Fractions 1821/278,8688/3420 is 3/475380
Least Common Multiple of 278,3420 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 278,3420 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(278,3420) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(278,3420) x common factors =2 x 1 = 2
LCM(278,3420) = ( 278 × 3420 ) / 2
LCM(278,3420) = 950760 / 2
LCM(278,3420) = 475380
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FAQs on GCF of Fractions of 1821/278, 8688/3420
1. What is the HCF of 1821,8688?
The HCF of 1821,8688 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 1821/278, 8688/3420?
Answer: GCF of Numerators as per given numbers 1821/278, 8688/3420 is
GCF of Numerators i.e. for 1821,8688 is 3
LCM of denominators i.e. for 278,3420 is 475380.
Thus, GCF of Fractions is 3/475380.Finally, GCF of Fractions for 1821/278, 8688/3420 is 3/475380.