GCF of 7989/560, 4680/9785
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7989/560, 4680/9785 i.e 3/1095920 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7989/560, 4680/9785.
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 7989/560,4680/9785?
Given fractions are 7989/560,4680/9785
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 7989/560,4680/9785, numerators are 7989,4680
Denominators are 560,9785
The GCF of 7989,4680 is 3 .
LCM of 560,9785 is 1095920.
The greatest common factor of 7989/560,4680/9785 = [GCF of 7989,4680]/[LCM of 560,9785]= 3/1095920
Therefore, the GCF of 7989/560,4680/9785 is 3/1095920.
To find the highest common factor of 7989,4680, we have to find the factors of both numbers and list the highest common factor.
The factors of 7989 are 1, 3, 2663, 7989
The factors of 4680 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 13, 15, 18, 20, 24, 26, 30, 36, 39, 40, 45, 52, 60, 65, 72, 78, 90, 104, 117, 120, 130, 156, 180, 195, 234, 260, 312, 360, 390, 468, 520, 585, 780, 936, 1170, 1560, 2340, 4680
The HCF of 7989,4680 is 3.
Lets's calculate GCF of 7989,4680
| 3 | 7989, 4680 |
| 2663, 1560 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7989,4680 By Matching Biggest Common Factor Method
Now, list down the factors of 7989
:1,3,2663,7989
Now, list down the factors of 4680
:1,2,3,4,5,6,8,9,10,12,13,15,18,20,24,26,30,36,39,40,45,52,60,65,72,78,90,104,117,120,130,156,180,195,234,260,312,360,390,468,520,585,780,936,1170,1560,2340,4680
Greatest Common Factor
We found the factors 7989,4680 . The biggest common factor number is the GCF number.
So the greatest common factor 7989,4680 is 3.
Lets's calculate LCM of 560,9785
| 5 | 560, 9785 |
| 112, 1957 |
∴ So the LCM of the given numbers is 5 x 112 x 1957 = 1095920
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1095920
Therefore, the GCF of Fractions 7989/560,4680/9785 is 3/1095920
Least Common Multiple of 560,9785 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 560,9785 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(560,9785) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(560,9785) x common factors =5 x 1 = 5
LCM(560,9785) = ( 560 × 9785 ) / 5
LCM(560,9785) = 5479600 / 5
LCM(560,9785) = 1095920
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FAQs on GCF of Fractions of 7989/560, 4680/9785
1. What is the HCF of 7989,4680?
The HCF of 7989,4680 is 3
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 7989/560, 4680/9785?
Answer: GCF of Numerators as per given numbers 7989/560, 4680/9785 is
GCF of Numerators i.e. for 7989,4680 is 3
LCM of denominators i.e. for 560,9785 is 1095920.
Thus, GCF of Fractions is 3/1095920.Finally, GCF of Fractions for 7989/560, 4680/9785 is 3/1095920.