GCF of 732/684, 6630/968
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 732/684, 6630/968 i.e 6/165528 easily. The following is the detailed procedure to determine the greatest common factor of fractions 732/684, 6630/968.
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 732/684,6630/968?
Given fractions are 732/684,6630/968
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 732/684,6630/968, numerators are 732,6630
Denominators are 684,968
The GCF of 732,6630 is 6 .
LCM of 684,968 is 165528.
The greatest common factor of 732/684,6630/968 = [GCF of 732,6630]/[LCM of 684,968]= 6/165528
Therefore, the GCF of 732/684,6630/968 is 6/165528.
To find the highest common factor of 732,6630, we have to find the factors of both numbers and list the highest common factor.
The factors of 732 are 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
The factors of 6630 are 1, 2, 3, 5, 6, 10, 13, 15, 17, 26, 30, 34, 39, 51, 65, 78, 85, 102, 130, 170, 195, 221, 255, 390, 442, 510, 663, 1105, 1326, 2210, 3315, 6630
The HCF of 732,6630 is 6.
Lets's calculate GCF of 732,6630
| 2 | 732, 6630 |
| 3 | 366, 3315 |
| 122, 1105 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 732,6630 By Matching Biggest Common Factor Method
Now, list down the factors of 732
:1,2,3,4,6,12,61,122,183,244,366,732
Now, list down the factors of 6630
:1,2,3,5,6,10,13,15,17,26,30,34,39,51,65,78,85,102,130,170,195,221,255,390,442,510,663,1105,1326,2210,3315,6630
Greatest Common Factor
We found the factors 732,6630 . The biggest common factor number is the GCF number.
So the greatest common factor 732,6630 is 6.
Lets's calculate LCM of 684,968
| 2 | 684, 968 |
| 2 | 342, 484 |
| 171, 242 |
∴ So the LCM of the given numbers is 2 x 2 x 171 x 242 = 165528
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/165528
Therefore, the GCF of Fractions 732/684,6630/968 is 6/165528
Least Common Multiple of 684,968 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 684,968 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(684,968) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(684,968) x common factors =4 x 1 = 4
LCM(684,968) = ( 684 × 968 ) / 4
LCM(684,968) = 662112 / 4
LCM(684,968) = 165528
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FAQs on GCF of Fractions of 732/684, 6630/968
1. What is the HCF of 732,6630?
The HCF of 732,6630 is 6
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 732/684, 6630/968?
Answer: GCF of Numerators as per given numbers 732/684, 6630/968 is
GCF of Numerators i.e. for 732,6630 is 6
LCM of denominators i.e. for 684,968 is 165528.
Thus, GCF of Fractions is 6/165528.Finally, GCF of Fractions for 732/684, 6630/968 is 6/165528.