GCF of 868/364, 713/454, 438/672
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 868/364, 713/454, 438/672 i.e 1/1983072 easily. The following is the detailed procedure to determine the greatest common factor of fractions 868/364, 713/454, 438/672.
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 868/364,713/454,438/672?
Given fractions are 868/364,713/454,438/672
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 868/364,713/454,438/672, numerators are 868,713,438
Denominators are 364,454,672
The GCF of 868,713,438 is 1 .
LCM of 364,454,672 is 1983072.
The greatest common factor of 868/364,713/454,438/672 = [GCF of 868,713,438]/[LCM of 364,454,672]= 1/1983072
Therefore, the GCF of 868/364,713/454,438/672 is 1/1983072.
To find the highest common factor of 868,713,438, we have to find the factors of both numbers and list the highest common factor.
The factors of 868 are 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
The factors of 713 are 1, 23, 31, 713
The factors of 438 are 1, 2, 3, 6, 73, 146, 219, 438
The HCF of 868,713,438 is 1.
Lets's calculate GCF of 868,713,438
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 868,713,438 By Matching Biggest Common Factor Method
Now, list down the factors of 868
:1,2,4,7,14,28,31,62,124,217,434,868
Now, list down the factors of 713
:1,23,31,713
Now, list down the factors of 438
:1,2,3,6,73,146,219,438
Greatest Common Factor
We found the factors 868,713,438 . The biggest common factor number is the GCF number.
So the greatest common factor 868,713,438 is 1.
Lets's calculate LCM of 364,454,672
| 2 | 364, 454, 672 |
| 2 | 182, 227, 336 |
| 7 | 91, 227, 168 |
| 13, 227, 24 |
∴ So the LCM of the given numbers is 2 x 2 x 7 x 13 x 227 x 24 = 1983072
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1983072
Therefore, the GCF of Fractions 868/364,713/454,438/672 is 1/1983072
Least Common Multiple of 364,454,672 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 364,454,672 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(364,454,672) = 2
common factors(in case of two or more numbers have common factors) = 28
GCF(364,454,672) x common factors =2 x 28 = 56
LCM(364,454,672) = ( 364 × 454 × 672 ) / 56
LCM(364,454,672) = 111052032 / 56
LCM(364,454,672) = 1983072
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FAQs on GCF of Fractions of 868/364, 713/454, 438/672
1. What is the HCF of 868,713,438?
The HCF of 868,713,438 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 868/364, 713/454, 438/672?
Answer: GCF of Numerators as per given numbers 868/364, 713/454, 438/672 is
GCF of Numerators i.e. for 868,713,438 is 1
LCM of denominators i.e. for 364,454,672 is 1983072.
Thus, GCF of Fractions is 1/1983072.Finally, GCF of Fractions for 868/364, 713/454, 438/672 is 1/1983072.