GCF of 1268/213, 6874/167
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1268/213, 6874/167 i.e 2/35571 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1268/213, 6874/167.
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 1268/213,6874/167?
Given fractions are 1268/213,6874/167
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 1268/213,6874/167, numerators are 1268,6874
Denominators are 213,167
The GCF of 1268,6874 is 2 .
LCM of 213,167 is 35571.
The greatest common factor of 1268/213,6874/167 = [GCF of 1268,6874]/[LCM of 213,167]= 2/35571
Therefore, the GCF of 1268/213,6874/167 is 2/35571.
To find the highest common factor of 1268,6874, we have to find the factors of both numbers and list the highest common factor.
The factors of 1268 are 1, 2, 4, 317, 634, 1268
The factors of 6874 are 1, 2, 7, 14, 491, 982, 3437, 6874
The HCF of 1268,6874 is 2.
Lets's calculate GCF of 1268,6874
| 2 | 1268, 6874 |
| 634, 3437 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1268,6874 By Matching Biggest Common Factor Method
Now, list down the factors of 1268
:1,2,4,317,634,1268
Now, list down the factors of 6874
:1,2,7,14,491,982,3437,6874
Greatest Common Factor
We found the factors 1268,6874 . The biggest common factor number is the GCF number.
So the greatest common factor 1268,6874 is 2.
Lets's calculate LCM of 213,167
Given numbers has no common factors except 1. So, there LCM is their product i.e 35571
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/35571
Therefore, the GCF of Fractions 1268/213,6874/167 is 2/35571
Least Common Multiple of 213,167 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 213,167 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(213,167) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(213,167) x common factors =1 x 1 = 1
LCM(213,167) = ( 213 × 167 ) / 1
LCM(213,167) = 35571 / 1
LCM(213,167) = 35571
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FAQs on GCF of Fractions of 1268/213, 6874/167
1. What is the HCF of 1268,6874?
The HCF of 1268,6874 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 1268/213, 6874/167?
Answer: GCF of Numerators as per given numbers 1268/213, 6874/167 is
GCF of Numerators i.e. for 1268,6874 is 2
LCM of denominators i.e. for 213,167 is 35571.
Thus, GCF of Fractions is 2/35571.Finally, GCF of Fractions for 1268/213, 6874/167 is 2/35571.