GCF of 6639/879, 7560/7136
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6639/879, 7560/7136 i.e 3/6272544 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6639/879, 7560/7136.
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 6639/879,7560/7136?
Given fractions are 6639/879,7560/7136
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 6639/879,7560/7136, numerators are 6639,7560
Denominators are 879,7136
The GCF of 6639,7560 is 3 .
LCM of 879,7136 is 6272544.
The greatest common factor of 6639/879,7560/7136 = [GCF of 6639,7560]/[LCM of 879,7136]= 3/6272544
Therefore, the GCF of 6639/879,7560/7136 is 3/6272544.
To find the highest common factor of 6639,7560, we have to find the factors of both numbers and list the highest common factor.
The factors of 6639 are 1, 3, 2213, 6639
The factors of 7560 are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 18, 20, 21, 24, 27, 28, 30, 35, 36, 40, 42, 45, 54, 56, 60, 63, 70, 72, 84, 90, 105, 108, 120, 126, 135, 140, 168, 180, 189, 210, 216, 252, 270, 280, 315, 360, 378, 420, 504, 540, 630, 756, 840, 945, 1080, 1260, 1512, 1890, 2520, 3780, 7560
The HCF of 6639,7560 is 3.
Lets's calculate GCF of 6639,7560
| 3 | 6639, 7560 |
| 2213, 2520 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6639,7560 By Matching Biggest Common Factor Method
Now, list down the factors of 6639
:1,3,2213,6639
Now, list down the factors of 7560
:1,2,3,4,5,6,7,8,9,10,12,14,15,18,20,21,24,27,28,30,35,36,40,42,45,54,56,60,63,70,72,84,90,105,108,120,126,135,140,168,180,189,210,216,252,270,280,315,360,378,420,504,540,630,756,840,945,1080,1260,1512,1890,2520,3780,7560
Greatest Common Factor
We found the factors 6639,7560 . The biggest common factor number is the GCF number.
So the greatest common factor 6639,7560 is 3.
Lets's calculate LCM of 879,7136
Given numbers has no common factors except 1. So, there LCM is their product i.e 6272544
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/6272544
Therefore, the GCF of Fractions 6639/879,7560/7136 is 3/6272544
Least Common Multiple of 879,7136 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 879,7136 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(879,7136) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(879,7136) x common factors =1 x 1 = 1
LCM(879,7136) = ( 879 × 7136 ) / 1
LCM(879,7136) = 6272544 / 1
LCM(879,7136) = 6272544
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FAQs on GCF of Fractions of 6639/879, 7560/7136
1. What is the HCF of 6639,7560?
The HCF of 6639,7560 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 6639/879, 7560/7136?
Answer: GCF of Numerators as per given numbers 6639/879, 7560/7136 is
GCF of Numerators i.e. for 6639,7560 is 3
LCM of denominators i.e. for 879,7136 is 6272544.
Thus, GCF of Fractions is 3/6272544.Finally, GCF of Fractions for 6639/879, 7560/7136 is 3/6272544.