GCF of 9680/674, 1088/6553
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9680/674, 1088/6553 i.e 16/4416722 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9680/674, 1088/6553.
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 9680/674,1088/6553?
Given fractions are 9680/674,1088/6553
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 9680/674,1088/6553, numerators are 9680,1088
Denominators are 674,6553
The GCF of 9680,1088 is 16 .
LCM of 674,6553 is 4416722.
The greatest common factor of 9680/674,1088/6553 = [GCF of 9680,1088]/[LCM of 674,6553]= 16/4416722
Therefore, the GCF of 9680/674,1088/6553 is 16/4416722.
To find the highest common factor of 9680,1088, we have to find the factors of both numbers and list the highest common factor.
The factors of 9680 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 121, 176, 220, 242, 440, 484, 605, 880, 968, 1210, 1936, 2420, 4840, 9680
The factors of 1088 are 1, 2, 4, 8, 16, 17, 32, 34, 64, 68, 136, 272, 544, 1088
The HCF of 9680,1088 is 16.
Lets's calculate GCF of 9680,1088
| 2 | 9680, 1088 |
| 2 | 4840, 544 |
| 2 | 2420, 272 |
| 2 | 1210, 136 |
| 605, 68 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Greatest Common Factor of 9680,1088 By Matching Biggest Common Factor Method
Now, list down the factors of 9680
:1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,121,176,220,242,440,484,605,880,968,1210,1936,2420,4840,9680
Now, list down the factors of 1088
:1,2,4,8,16,17,32,34,64,68,136,272,544,1088
Greatest Common Factor
We found the factors 9680,1088 . The biggest common factor number is the GCF number.
So the greatest common factor 9680,1088 is 16.
Lets's calculate LCM of 674,6553
Given numbers has no common factors except 1. So, there LCM is their product i.e 4416722
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/4416722
Therefore, the GCF of Fractions 9680/674,1088/6553 is 16/4416722
Least Common Multiple of 674,6553 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 674,6553 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(674,6553) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(674,6553) x common factors =1 x 1 = 1
LCM(674,6553) = ( 674 × 6553 ) / 1
LCM(674,6553) = 4416722 / 1
LCM(674,6553) = 4416722
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FAQs on GCF of Fractions of 9680/674, 1088/6553
1. What is the HCF of 9680,1088?
The HCF of 9680,1088 is 16
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 9680/674, 1088/6553?
Answer: GCF of Numerators as per given numbers 9680/674, 1088/6553 is
GCF of Numerators i.e. for 9680,1088 is 16
LCM of denominators i.e. for 674,6553 is 4416722.
Thus, GCF of Fractions is 16/4416722.Finally, GCF of Fractions for 9680/674, 1088/6553 is 16/4416722.