GCF of 316/122, 834/386, 354/826
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 316/122, 834/386, 354/826 i.e 2/9724498 easily. The following is the detailed procedure to determine the greatest common factor of fractions 316/122, 834/386, 354/826.
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 316/122,834/386,354/826?
Given fractions are 316/122,834/386,354/826
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 316/122,834/386,354/826, numerators are 316,834,354
Denominators are 122,386,826
The GCF of 316,834,354 is 2 .
LCM of 122,386,826 is 9724498.
The greatest common factor of 316/122,834/386,354/826 = [GCF of 316,834,354]/[LCM of 122,386,826]= 2/9724498
Therefore, the GCF of 316/122,834/386,354/826 is 2/9724498.
To find the highest common factor of 316,834,354, we have to find the factors of both numbers and list the highest common factor.
The factors of 316 are 1, 2, 4, 79, 158, 316
The factors of 834 are 1, 2, 3, 6, 139, 278, 417, 834
The factors of 354 are 1, 2, 3, 6, 59, 118, 177, 354
The HCF of 316,834,354 is 2.
Lets's calculate GCF of 316,834,354
| 2 | 316, 834, 354 |
| 158, 417, 177 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 316,834,354 By Matching Biggest Common Factor Method
Now, list down the factors of 316
:1,2,4,79,158,316
Now, list down the factors of 834
:1,2,3,6,139,278,417,834
Now, list down the factors of 354
:1,2,3,6,59,118,177,354
Greatest Common Factor
We found the factors 316,834,354 . The biggest common factor number is the GCF number.
So the greatest common factor 316,834,354 is 2.
Lets's calculate LCM of 122,386,826
| 2 | 122, 386, 826 |
| 61, 193, 413 |
∴ So the LCM of the given numbers is 2 x 61 x 193 x 413 = 9724498
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/9724498
Therefore, the GCF of Fractions 316/122,834/386,354/826 is 2/9724498
Least Common Multiple of 122,386,826 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 122,386,826 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(122,386,826) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(122,386,826) x common factors =2 x 2 = 4
LCM(122,386,826) = ( 122 × 386 × 826 ) / 4
LCM(122,386,826) = 38897992 / 4
LCM(122,386,826) = 9724498
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FAQs on GCF of Fractions of 316/122, 834/386, 354/826
1. What is the HCF of 316,834,354?
The HCF of 316,834,354 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 316/122, 834/386, 354/826?
Answer: GCF of Numerators as per given numbers 316/122, 834/386, 354/826 is
GCF of Numerators i.e. for 316,834,354 is 2
LCM of denominators i.e. for 122,386,826 is 9724498.
Thus, GCF of Fractions is 2/9724498.Finally, GCF of Fractions for 316/122, 834/386, 354/826 is 2/9724498.