GCF of 3167/834, 5119/267
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3167/834, 5119/267 i.e 1/74226 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3167/834, 5119/267.
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 3167/834,5119/267?
Given fractions are 3167/834,5119/267
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 3167/834,5119/267, numerators are 3167,5119
Denominators are 834,267
The GCF of 3167,5119 is 1 .
LCM of 834,267 is 74226.
The greatest common factor of 3167/834,5119/267 = [GCF of 3167,5119]/[LCM of 834,267]= 1/74226
Therefore, the GCF of 3167/834,5119/267 is 1/74226.
To find the highest common factor of 3167,5119, we have to find the factors of both numbers and list the highest common factor.
The factors of 3167 are 1, 3167
The factors of 5119 are 1, 5119
The HCF of 3167,5119 is 1.
Lets's calculate GCF of 3167,5119
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3167,5119 By Matching Biggest Common Factor Method
Now, list down the factors of 3167
:1,3167
Now, list down the factors of 5119
:1,5119
Greatest Common Factor
We found the factors 3167,5119 . The biggest common factor number is the GCF number.
So the greatest common factor 3167,5119 is 1.
Lets's calculate LCM of 834,267
| 3 | 834, 267 |
| 278, 89 |
∴ So the LCM of the given numbers is 3 x 278 x 89 = 74226
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/74226
Therefore, the GCF of Fractions 3167/834,5119/267 is 1/74226
Least Common Multiple of 834,267 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 834,267 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(834,267) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(834,267) x common factors =3 x 1 = 3
LCM(834,267) = ( 834 × 267 ) / 3
LCM(834,267) = 222678 / 3
LCM(834,267) = 74226
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FAQs on GCF of Fractions of 3167/834, 5119/267
1. What is the HCF of 3167,5119?
The HCF of 3167,5119 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 3167/834, 5119/267?
Answer: GCF of Numerators as per given numbers 3167/834, 5119/267 is
GCF of Numerators i.e. for 3167,5119 is 1
LCM of denominators i.e. for 834,267 is 74226.
Thus, GCF of Fractions is 1/74226.Finally, GCF of Fractions for 3167/834, 5119/267 is 1/74226.