GCF of 6660/758, 8580/568
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6660/758, 8580/568 i.e 60/215272 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6660/758, 8580/568.
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 6660/758,8580/568?
Given fractions are 6660/758,8580/568
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 6660/758,8580/568, numerators are 6660,8580
Denominators are 758,568
The GCF of 6660,8580 is 60 .
LCM of 758,568 is 215272.
The greatest common factor of 6660/758,8580/568 = [GCF of 6660,8580]/[LCM of 758,568]= 60/215272
Therefore, the GCF of 6660/758,8580/568 is 60/215272.
To find the highest common factor of 6660,8580, we have to find the factors of both numbers and list the highest common factor.
The factors of 6660 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 37, 45, 60, 74, 90, 111, 148, 180, 185, 222, 333, 370, 444, 555, 666, 740, 1110, 1332, 1665, 2220, 3330, 6660
The factors of 8580 are 1, 2, 3, 4, 5, 6, 10, 11, 12, 13, 15, 20, 22, 26, 30, 33, 39, 44, 52, 55, 60, 65, 66, 78, 110, 130, 132, 143, 156, 165, 195, 220, 260, 286, 330, 390, 429, 572, 660, 715, 780, 858, 1430, 1716, 2145, 2860, 4290, 8580
The HCF of 6660,8580 is 60.
Lets's calculate GCF of 6660,8580
| 2 | 6660, 8580 |
| 2 | 3330, 4290 |
| 3 | 1665, 2145 |
| 5 | 555, 715 |
| 111, 143 |
∴ So the GCF of the given numbers is 2 x 2 x 3 x 5 = 60
Greatest Common Factor of 6660,8580 By Matching Biggest Common Factor Method
Now, list down the factors of 6660
:1,2,3,4,5,6,9,10,12,15,18,20,30,36,37,45,60,74,90,111,148,180,185,222,333,370,444,555,666,740,1110,1332,1665,2220,3330,6660
Now, list down the factors of 8580
:1,2,3,4,5,6,10,11,12,13,15,20,22,26,30,33,39,44,52,55,60,65,66,78,110,130,132,143,156,165,195,220,260,286,330,390,429,572,660,715,780,858,1430,1716,2145,2860,4290,8580
Greatest Common Factor
We found the factors 6660,8580 . The biggest common factor number is the GCF number.
So the greatest common factor 6660,8580 is 60.
Lets's calculate LCM of 758,568
| 2 | 758, 568 |
| 379, 284 |
∴ So the LCM of the given numbers is 2 x 379 x 284 = 215272
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 60/215272
Therefore, the GCF of Fractions 6660/758,8580/568 is 60/215272
Least Common Multiple of 758,568 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 758,568 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(758,568) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(758,568) x common factors =2 x 1 = 2
LCM(758,568) = ( 758 × 568 ) / 2
LCM(758,568) = 430544 / 2
LCM(758,568) = 215272
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FAQs on GCF of Fractions of 6660/758, 8580/568
1. What is the HCF of 6660,8580?
The HCF of 6660,8580 is 60
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 6660/758, 8580/568?
Answer: GCF of Numerators as per given numbers 6660/758, 8580/568 is
GCF of Numerators i.e. for 6660,8580 is 60
LCM of denominators i.e. for 758,568 is 215272.
Thus, GCF of Fractions is 60/215272.Finally, GCF of Fractions for 6660/758, 8580/568 is 60/215272.