GCF of 1139/879, 9324/2580
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1139/879, 9324/2580 i.e 1/755940 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1139/879, 9324/2580.
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 1139/879,9324/2580?
Given fractions are 1139/879,9324/2580
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 1139/879,9324/2580, numerators are 1139,9324
Denominators are 879,2580
The GCF of 1139,9324 is 1 .
LCM of 879,2580 is 755940.
The greatest common factor of 1139/879,9324/2580 = [GCF of 1139,9324]/[LCM of 879,2580]= 1/755940
Therefore, the GCF of 1139/879,9324/2580 is 1/755940.
To find the highest common factor of 1139,9324, we have to find the factors of both numbers and list the highest common factor.
The factors of 1139 are 1, 17, 67, 1139
The factors of 9324 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 37, 42, 63, 74, 84, 111, 126, 148, 222, 252, 259, 333, 444, 518, 666, 777, 1036, 1332, 1554, 2331, 3108, 4662, 9324
The HCF of 1139,9324 is 1.
Lets's calculate GCF of 1139,9324
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1139,9324 By Matching Biggest Common Factor Method
Now, list down the factors of 1139
:1,17,67,1139
Now, list down the factors of 9324
:1,2,3,4,6,7,9,12,14,18,21,28,36,37,42,63,74,84,111,126,148,222,252,259,333,444,518,666,777,1036,1332,1554,2331,3108,4662,9324
Greatest Common Factor
We found the factors 1139,9324 . The biggest common factor number is the GCF number.
So the greatest common factor 1139,9324 is 1.
Lets's calculate LCM of 879,2580
| 3 | 879, 2580 |
| 293, 860 |
∴ So the LCM of the given numbers is 3 x 293 x 860 = 755940
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/755940
Therefore, the GCF of Fractions 1139/879,9324/2580 is 1/755940
Least Common Multiple of 879,2580 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 879,2580 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(879,2580) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(879,2580) x common factors =3 x 1 = 3
LCM(879,2580) = ( 879 × 2580 ) / 3
LCM(879,2580) = 2267820 / 3
LCM(879,2580) = 755940
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FAQs on GCF of Fractions of 1139/879, 9324/2580
1. What is the HCF of 1139,9324?
The HCF of 1139,9324 is 1
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 1139/879, 9324/2580?
Answer: GCF of Numerators as per given numbers 1139/879, 9324/2580 is
GCF of Numerators i.e. for 1139,9324 is 1
LCM of denominators i.e. for 879,2580 is 755940.
Thus, GCF of Fractions is 1/755940.Finally, GCF of Fractions for 1139/879, 9324/2580 is 1/755940.