GCF of 4680/989, 6968/6412
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4680/989, 6968/6412 i.e 104/6341468 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4680/989, 6968/6412.
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 4680/989,6968/6412?
Given fractions are 4680/989,6968/6412
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 4680/989,6968/6412, numerators are 4680,6968
Denominators are 989,6412
The GCF of 4680,6968 is 104 .
LCM of 989,6412 is 6341468.
The greatest common factor of 4680/989,6968/6412 = [GCF of 4680,6968]/[LCM of 989,6412]= 104/6341468
Therefore, the GCF of 4680/989,6968/6412 is 104/6341468.
To find the highest common factor of 4680,6968, we have to find the factors of both numbers and list the highest common factor.
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 factors of 6968 are 1, 2, 4, 8, 13, 26, 52, 67, 104, 134, 268, 536, 871, 1742, 3484, 6968
The HCF of 4680,6968 is 104.
Lets's calculate GCF of 4680,6968
| 2 | 4680, 6968 |
| 2 | 2340, 3484 |
| 2 | 1170, 1742 |
| 13 | 585, 871 |
| 45, 67 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 13 = 104
Greatest Common Factor of 4680,6968 By Matching Biggest Common Factor Method
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
Now, list down the factors of 6968
:1,2,4,8,13,26,52,67,104,134,268,536,871,1742,3484,6968
Greatest Common Factor
We found the factors 4680,6968 . The biggest common factor number is the GCF number.
So the greatest common factor 4680,6968 is 104.
Lets's calculate LCM of 989,6412
Given numbers has no common factors except 1. So, there LCM is their product i.e 6341468
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 104/6341468
Therefore, the GCF of Fractions 4680/989,6968/6412 is 104/6341468
Least Common Multiple of 989,6412 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 989,6412 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(989,6412) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(989,6412) x common factors =1 x 1 = 1
LCM(989,6412) = ( 989 × 6412 ) / 1
LCM(989,6412) = 6341468 / 1
LCM(989,6412) = 6341468
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FAQs on GCF of Fractions of 4680/989, 6968/6412
1. What is the HCF of 4680,6968?
The HCF of 4680,6968 is 104
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 4680/989, 6968/6412?
Answer: GCF of Numerators as per given numbers 4680/989, 6968/6412 is
GCF of Numerators i.e. for 4680,6968 is 104
LCM of denominators i.e. for 989,6412 is 6341468.
Thus, GCF of Fractions is 104/6341468.Finally, GCF of Fractions for 4680/989, 6968/6412 is 104/6341468.