GCF of 116/388, 688/658
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 116/388, 688/658 i.e 4/127652 easily. The following is the detailed procedure to determine the greatest common factor of fractions 116/388, 688/658.
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 116/388,688/658?
Given fractions are 116/388,688/658
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 116/388,688/658, numerators are 116,688
Denominators are 388,658
The GCF of 116,688 is 4 .
LCM of 388,658 is 127652.
The greatest common factor of 116/388,688/658 = [GCF of 116,688]/[LCM of 388,658]= 4/127652
Therefore, the GCF of 116/388,688/658 is 4/127652.
To find the highest common factor of 116,688, we have to find the factors of both numbers and list the highest common factor.
The factors of 116 are 1, 2, 4, 29, 58, 116
The factors of 688 are 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
The HCF of 116,688 is 4.
Lets's calculate GCF of 116,688
| 2 | 116, 688 |
| 2 | 58, 344 |
| 29, 172 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 116,688 By Matching Biggest Common Factor Method
Now, list down the factors of 116
:1,2,4,29,58,116
Now, list down the factors of 688
:1,2,4,8,16,43,86,172,344,688
Greatest Common Factor
We found the factors 116,688 . The biggest common factor number is the GCF number.
So the greatest common factor 116,688 is 4.
Lets's calculate LCM of 388,658
| 2 | 388, 658 |
| 194, 329 |
∴ So the LCM of the given numbers is 2 x 194 x 329 = 127652
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/127652
Therefore, the GCF of Fractions 116/388,688/658 is 4/127652
Least Common Multiple of 388,658 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 388,658 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(388,658) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(388,658) x common factors =2 x 1 = 2
LCM(388,658) = ( 388 × 658 ) / 2
LCM(388,658) = 255304 / 2
LCM(388,658) = 127652
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FAQs on GCF of Fractions of 116/388, 688/658
1. What is the HCF of 116,688?
The HCF of 116,688 is 4
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 116/388, 688/658?
Answer: GCF of Numerators as per given numbers 116/388, 688/658 is
GCF of Numerators i.e. for 116,688 is 4
LCM of denominators i.e. for 388,658 is 127652.
Thus, GCF of Fractions is 4/127652.Finally, GCF of Fractions for 116/388, 688/658 is 4/127652.