GCF of 9694/224, 5880/9990
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9694/224, 5880/9990 i.e 2/1118880 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9694/224, 5880/9990.
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 9694/224,5880/9990?
Given fractions are 9694/224,5880/9990
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 9694/224,5880/9990, numerators are 9694,5880
Denominators are 224,9990
The GCF of 9694,5880 is 2 .
LCM of 224,9990 is 1118880.
The greatest common factor of 9694/224,5880/9990 = [GCF of 9694,5880]/[LCM of 224,9990]= 2/1118880
Therefore, the GCF of 9694/224,5880/9990 is 2/1118880.
To find the highest common factor of 9694,5880, we have to find the factors of both numbers and list the highest common factor.
The factors of 9694 are 1, 2, 37, 74, 131, 262, 4847, 9694
The factors of 5880 are 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 49, 56, 60, 70, 84, 98, 105, 120, 140, 147, 168, 196, 210, 245, 280, 294, 392, 420, 490, 588, 735, 840, 980, 1176, 1470, 1960, 2940, 5880
The HCF of 9694,5880 is 2.
Lets's calculate GCF of 9694,5880
| 2 | 9694, 5880 |
| 4847, 2940 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9694,5880 By Matching Biggest Common Factor Method
Now, list down the factors of 9694
:1,2,37,74,131,262,4847,9694
Now, list down the factors of 5880
:1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,28,30,35,40,42,49,56,60,70,84,98,105,120,140,147,168,196,210,245,280,294,392,420,490,588,735,840,980,1176,1470,1960,2940,5880
Greatest Common Factor
We found the factors 9694,5880 . The biggest common factor number is the GCF number.
So the greatest common factor 9694,5880 is 2.
Lets's calculate LCM of 224,9990
| 2 | 224, 9990 |
| 112, 4995 |
∴ So the LCM of the given numbers is 2 x 112 x 4995 = 1118880
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1118880
Therefore, the GCF of Fractions 9694/224,5880/9990 is 2/1118880
Least Common Multiple of 224,9990 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 224,9990 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(224,9990) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(224,9990) x common factors =2 x 1 = 2
LCM(224,9990) = ( 224 × 9990 ) / 2
LCM(224,9990) = 2237760 / 2
LCM(224,9990) = 1118880
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FAQs on GCF of Fractions of 9694/224, 5880/9990
1. What is the HCF of 9694,5880?
The HCF of 9694,5880 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 9694/224, 5880/9990?
Answer: GCF of Numerators as per given numbers 9694/224, 5880/9990 is
GCF of Numerators i.e. for 9694,5880 is 2
LCM of denominators i.e. for 224,9990 is 1118880.
Thus, GCF of Fractions is 2/1118880.Finally, GCF of Fractions for 9694/224, 5880/9990 is 2/1118880.