GCF of 2668/546, 2160/698
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2668/546, 2160/698 i.e 4/190554 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2668/546, 2160/698.
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 2668/546,2160/698?
Given fractions are 2668/546,2160/698
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 2668/546,2160/698, numerators are 2668,2160
Denominators are 546,698
The GCF of 2668,2160 is 4 .
LCM of 546,698 is 190554.
The greatest common factor of 2668/546,2160/698 = [GCF of 2668,2160]/[LCM of 546,698]= 4/190554
Therefore, the GCF of 2668/546,2160/698 is 4/190554.
To find the highest common factor of 2668,2160, we have to find the factors of both numbers and list the highest common factor.
The factors of 2668 are 1, 2, 4, 23, 29, 46, 58, 92, 116, 667, 1334, 2668
The factors of 2160 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 27, 30, 36, 40, 45, 48, 54, 60, 72, 80, 90, 108, 120, 135, 144, 180, 216, 240, 270, 360, 432, 540, 720, 1080, 2160
The HCF of 2668,2160 is 4.
Lets's calculate GCF of 2668,2160
| 2 | 2668, 2160 |
| 2 | 1334, 1080 |
| 667, 540 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 2668,2160 By Matching Biggest Common Factor Method
Now, list down the factors of 2668
:1,2,4,23,29,46,58,92,116,667,1334,2668
Now, list down the factors of 2160
:1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,27,30,36,40,45,48,54,60,72,80,90,108,120,135,144,180,216,240,270,360,432,540,720,1080,2160
Greatest Common Factor
We found the factors 2668,2160 . The biggest common factor number is the GCF number.
So the greatest common factor 2668,2160 is 4.
Lets's calculate LCM of 546,698
| 2 | 546, 698 |
| 273, 349 |
∴ So the LCM of the given numbers is 2 x 273 x 349 = 190554
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/190554
Therefore, the GCF of Fractions 2668/546,2160/698 is 4/190554
Least Common Multiple of 546,698 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 546,698 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(546,698) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(546,698) x common factors =2 x 1 = 2
LCM(546,698) = ( 546 × 698 ) / 2
LCM(546,698) = 381108 / 2
LCM(546,698) = 190554
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FAQs on GCF of Fractions of 2668/546, 2160/698
1. What is the HCF of 2668,2160?
The HCF of 2668,2160 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 2668/546, 2160/698?
Answer: GCF of Numerators as per given numbers 2668/546, 2160/698 is
GCF of Numerators i.e. for 2668,2160 is 4
LCM of denominators i.e. for 546,698 is 190554.
Thus, GCF of Fractions is 4/190554.Finally, GCF of Fractions for 2668/546, 2160/698 is 4/190554.