GCF of 2364/842, 5580/1570
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2364/842, 5580/1570 i.e 12/660970 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2364/842, 5580/1570.
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 2364/842,5580/1570?
Given fractions are 2364/842,5580/1570
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 2364/842,5580/1570, numerators are 2364,5580
Denominators are 842,1570
The GCF of 2364,5580 is 12 .
LCM of 842,1570 is 660970.
The greatest common factor of 2364/842,5580/1570 = [GCF of 2364,5580]/[LCM of 842,1570]= 12/660970
Therefore, the GCF of 2364/842,5580/1570 is 12/660970.
To find the highest common factor of 2364,5580, we have to find the factors of both numbers and list the highest common factor.
The factors of 2364 are 1, 2, 3, 4, 6, 12, 197, 394, 591, 788, 1182, 2364
The factors of 5580 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 31, 36, 45, 60, 62, 90, 93, 124, 155, 180, 186, 279, 310, 372, 465, 558, 620, 930, 1116, 1395, 1860, 2790, 5580
The HCF of 2364,5580 is 12.
Lets's calculate GCF of 2364,5580
| 2 | 2364, 5580 |
| 2 | 1182, 2790 |
| 3 | 591, 1395 |
| 197, 465 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 2364,5580 By Matching Biggest Common Factor Method
Now, list down the factors of 2364
:1,2,3,4,6,12,197,394,591,788,1182,2364
Now, list down the factors of 5580
:1,2,3,4,5,6,9,10,12,15,18,20,30,31,36,45,60,62,90,93,124,155,180,186,279,310,372,465,558,620,930,1116,1395,1860,2790,5580
Greatest Common Factor
We found the factors 2364,5580 . The biggest common factor number is the GCF number.
So the greatest common factor 2364,5580 is 12.
Lets's calculate LCM of 842,1570
| 2 | 842, 1570 |
| 421, 785 |
∴ So the LCM of the given numbers is 2 x 421 x 785 = 660970
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/660970
Therefore, the GCF of Fractions 2364/842,5580/1570 is 12/660970
Least Common Multiple of 842,1570 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 842,1570 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(842,1570) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(842,1570) x common factors =2 x 1 = 2
LCM(842,1570) = ( 842 × 1570 ) / 2
LCM(842,1570) = 1321940 / 2
LCM(842,1570) = 660970
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FAQs on GCF of Fractions of 2364/842, 5580/1570
1. What is the HCF of 2364,5580?
The HCF of 2364,5580 is 12
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 2364/842, 5580/1570?
Answer: GCF of Numerators as per given numbers 2364/842, 5580/1570 is
GCF of Numerators i.e. for 2364,5580 is 12
LCM of denominators i.e. for 842,1570 is 660970.
Thus, GCF of Fractions is 12/660970.Finally, GCF of Fractions for 2364/842, 5580/1570 is 12/660970.