GCF of 78/88, 468/29, 386/122
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 78/88, 468/29, 386/122 i.e 2/155672 easily. The following is the detailed procedure to determine the greatest common factor of fractions 78/88, 468/29, 386/122.
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 78/88,468/29,386/122?
Given fractions are 78/88,468/29,386/122
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 78/88,468/29,386/122, numerators are 78,468,386
Denominators are 88,29,122
The GCF of 78,468,386 is 2 .
LCM of 88,29,122 is 155672.
The greatest common factor of 78/88,468/29,386/122 = [GCF of 78,468,386]/[LCM of 88,29,122]= 2/155672
Therefore, the GCF of 78/88,468/29,386/122 is 2/155672.
To find the highest common factor of 78,468,386, we have to find the factors of both numbers and list the highest common factor.
The factors of 78 are 1, 2, 3, 6, 13, 26, 39, 78
The factors of 468 are 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
The factors of 386 are 1, 2, 193, 386
The HCF of 78,468,386 is 2.
Lets's calculate GCF of 78,468,386
| 2 | 78, 468, 386 |
| 39, 234, 193 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 78,468,386 By Matching Biggest Common Factor Method
Now, list down the factors of 78
:1,2,3,6,13,26,39,78
Now, list down the factors of 468
:1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468
Now, list down the factors of 386
:1,2,193,386
Greatest Common Factor
We found the factors 78,468,386 . The biggest common factor number is the GCF number.
So the greatest common factor 78,468,386 is 2.
Lets's calculate LCM of 88,29,122
| 2 | 88, 29, 122 |
| 44, 29, 61 |
∴ So the LCM of the given numbers is 2 x 44 x 29 x 61 = 155672
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/155672
Therefore, the GCF of Fractions 78/88,468/29,386/122 is 2/155672
Least Common Multiple of 88,29,122 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 88,29,122 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(88,29,122) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(88,29,122) x common factors =1 x 2 = 2
LCM(88,29,122) = ( 88 × 29 × 122 ) / 2
LCM(88,29,122) = 311344 / 2
LCM(88,29,122) = 155672
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 78/88, 468/29, 386/122
1. What is the HCF of 78,468,386?
The HCF of 78,468,386 is 2
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 78/88, 468/29, 386/122?
Answer: GCF of Numerators as per given numbers 78/88, 468/29, 386/122 is
GCF of Numerators i.e. for 78,468,386 is 2
LCM of denominators i.e. for 88,29,122 is 155672.
Thus, GCF of Fractions is 2/155672.Finally, GCF of Fractions for 78/88, 468/29, 386/122 is 2/155672.