GCF of 67/129, 63/217, 196/496
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 67/129, 63/217, 196/496 i.e 1/447888 easily. The following is the detailed procedure to determine the greatest common factor of fractions 67/129, 63/217, 196/496.
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 67/129,63/217,196/496?
Given fractions are 67/129,63/217,196/496
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 67/129,63/217,196/496, numerators are 67,63,196
Denominators are 129,217,496
The GCF of 67,63,196 is 1 .
LCM of 129,217,496 is 447888.
The greatest common factor of 67/129,63/217,196/496 = [GCF of 67,63,196]/[LCM of 129,217,496]= 1/447888
Therefore, the GCF of 67/129,63/217,196/496 is 1/447888.
To find the highest common factor of 67,63,196, we have to find the factors of both numbers and list the highest common factor.
The factors of 67 are 1, 67
The factors of 63 are 1, 3, 7, 9, 21, 63
The factors of 196 are 1, 2, 4, 7, 14, 28, 49, 98, 196
The HCF of 67,63,196 is 1.
Lets's calculate GCF of 67,63,196
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 67,63,196 By Matching Biggest Common Factor Method
Now, list down the factors of 67
:1,67
Now, list down the factors of 63
:1,3,7,9,21,63
Now, list down the factors of 196
:1,2,4,7,14,28,49,98,196
Greatest Common Factor
We found the factors 67,63,196 . The biggest common factor number is the GCF number.
So the greatest common factor 67,63,196 is 1.
Lets's calculate LCM of 129,217,496
| 31 | 129, 217, 496 |
| 129, 7, 16 |
∴ So the LCM of the given numbers is 31 x 129 x 7 x 16 = 447888
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/447888
Therefore, the GCF of Fractions 67/129,63/217,196/496 is 1/447888
Least Common Multiple of 129,217,496 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 129,217,496 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(129,217,496) = 1
common factors(in case of two or more numbers have common factors) = 31
GCF(129,217,496) x common factors =1 x 31 = 31
LCM(129,217,496) = ( 129 × 217 × 496 ) / 31
LCM(129,217,496) = 13884528 / 31
LCM(129,217,496) = 447888
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FAQs on GCF of Fractions of 67/129, 63/217, 196/496
1. What is the HCF of 67,63,196?
The HCF of 67,63,196 is 1
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 67/129, 63/217, 196/496?
Answer: GCF of Numerators as per given numbers 67/129, 63/217, 196/496 is
GCF of Numerators i.e. for 67,63,196 is 1
LCM of denominators i.e. for 129,217,496 is 447888.
Thus, GCF of Fractions is 1/447888.Finally, GCF of Fractions for 67/129, 63/217, 196/496 is 1/447888.