GCF of 1371/571, 2679/8648
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1371/571, 2679/8648 i.e 3/4938008 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1371/571, 2679/8648.
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 1371/571,2679/8648?
Given fractions are 1371/571,2679/8648
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 1371/571,2679/8648, numerators are 1371,2679
Denominators are 571,8648
The GCF of 1371,2679 is 3 .
LCM of 571,8648 is 4938008.
The greatest common factor of 1371/571,2679/8648 = [GCF of 1371,2679]/[LCM of 571,8648]= 3/4938008
Therefore, the GCF of 1371/571,2679/8648 is 3/4938008.
To find the highest common factor of 1371,2679, we have to find the factors of both numbers and list the highest common factor.
The factors of 1371 are 1, 3, 457, 1371
The factors of 2679 are 1, 3, 19, 47, 57, 141, 893, 2679
The HCF of 1371,2679 is 3.
Lets's calculate GCF of 1371,2679
| 3 | 1371, 2679 |
| 457, 893 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1371,2679 By Matching Biggest Common Factor Method
Now, list down the factors of 1371
:1,3,457,1371
Now, list down the factors of 2679
:1,3,19,47,57,141,893,2679
Greatest Common Factor
We found the factors 1371,2679 . The biggest common factor number is the GCF number.
So the greatest common factor 1371,2679 is 3.
Lets's calculate LCM of 571,8648
Given numbers has no common factors except 1. So, there LCM is their product i.e 4938008
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/4938008
Therefore, the GCF of Fractions 1371/571,2679/8648 is 3/4938008
Least Common Multiple of 571,8648 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 571,8648 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(571,8648) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(571,8648) x common factors =1 x 1 = 1
LCM(571,8648) = ( 571 × 8648 ) / 1
LCM(571,8648) = 4938008 / 1
LCM(571,8648) = 4938008
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FAQs on GCF of Fractions of 1371/571, 2679/8648
1. What is the HCF of 1371,2679?
The HCF of 1371,2679 is 3
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 1371/571, 2679/8648?
Answer: GCF of Numerators as per given numbers 1371/571, 2679/8648 is
GCF of Numerators i.e. for 1371,2679 is 3
LCM of denominators i.e. for 571,8648 is 4938008.
Thus, GCF of Fractions is 3/4938008.Finally, GCF of Fractions for 1371/571, 2679/8648 is 3/4938008.