GCF of 8580/752, 7882/241
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8580/752, 7882/241 i.e 2/181232 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8580/752, 7882/241.
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 8580/752,7882/241?
Given fractions are 8580/752,7882/241
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 8580/752,7882/241, numerators are 8580,7882
Denominators are 752,241
The GCF of 8580,7882 is 2 .
LCM of 752,241 is 181232.
The greatest common factor of 8580/752,7882/241 = [GCF of 8580,7882]/[LCM of 752,241]= 2/181232
Therefore, the GCF of 8580/752,7882/241 is 2/181232.
To find the highest common factor of 8580,7882, we have to find the factors of both numbers and list the highest common factor.
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 factors of 7882 are 1, 2, 7, 14, 563, 1126, 3941, 7882
The HCF of 8580,7882 is 2.
Lets's calculate GCF of 8580,7882
| 2 | 8580, 7882 |
| 4290, 3941 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8580,7882 By Matching Biggest Common Factor Method
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
Now, list down the factors of 7882
:1,2,7,14,563,1126,3941,7882
Greatest Common Factor
We found the factors 8580,7882 . The biggest common factor number is the GCF number.
So the greatest common factor 8580,7882 is 2.
Lets's calculate LCM of 752,241
Given numbers has no common factors except 1. So, there LCM is their product i.e 181232
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/181232
Therefore, the GCF of Fractions 8580/752,7882/241 is 2/181232
Least Common Multiple of 752,241 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 752,241 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(752,241) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(752,241) x common factors =1 x 1 = 1
LCM(752,241) = ( 752 × 241 ) / 1
LCM(752,241) = 181232 / 1
LCM(752,241) = 181232
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FAQs on GCF of Fractions of 8580/752, 7882/241
1. What is the HCF of 8580,7882?
The HCF of 8580,7882 is 2
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 8580/752, 7882/241?
Answer: GCF of Numerators as per given numbers 8580/752, 7882/241 is
GCF of Numerators i.e. for 8580,7882 is 2
LCM of denominators i.e. for 752,241 is 181232.
Thus, GCF of Fractions is 2/181232.Finally, GCF of Fractions for 8580/752, 7882/241 is 2/181232.