GCF of 8468/349, 3766/643
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8468/349, 3766/643 i.e 2/224407 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8468/349, 3766/643.
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 8468/349,3766/643?
Given fractions are 8468/349,3766/643
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 8468/349,3766/643, numerators are 8468,3766
Denominators are 349,643
The GCF of 8468,3766 is 2 .
LCM of 349,643 is 224407.
The greatest common factor of 8468/349,3766/643 = [GCF of 8468,3766]/[LCM of 349,643]= 2/224407
Therefore, the GCF of 8468/349,3766/643 is 2/224407.
To find the highest common factor of 8468,3766, we have to find the factors of both numbers and list the highest common factor.
The factors of 8468 are 1, 2, 4, 29, 58, 73, 116, 146, 292, 2117, 4234, 8468
The factors of 3766 are 1, 2, 7, 14, 269, 538, 1883, 3766
The HCF of 8468,3766 is 2.
Lets's calculate GCF of 8468,3766
| 2 | 8468, 3766 |
| 4234, 1883 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8468,3766 By Matching Biggest Common Factor Method
Now, list down the factors of 8468
:1,2,4,29,58,73,116,146,292,2117,4234,8468
Now, list down the factors of 3766
:1,2,7,14,269,538,1883,3766
Greatest Common Factor
We found the factors 8468,3766 . The biggest common factor number is the GCF number.
So the greatest common factor 8468,3766 is 2.
Lets's calculate LCM of 349,643
Given numbers has no common factors except 1. So, there LCM is their product i.e 224407
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/224407
Therefore, the GCF of Fractions 8468/349,3766/643 is 2/224407
Least Common Multiple of 349,643 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 349,643 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(349,643) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(349,643) x common factors =1 x 1 = 1
LCM(349,643) = ( 349 × 643 ) / 1
LCM(349,643) = 224407 / 1
LCM(349,643) = 224407
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8468/349, 3766/643
1. What is the HCF of 8468,3766?
The HCF of 8468,3766 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 8468/349, 3766/643?
Answer: GCF of Numerators as per given numbers 8468/349, 3766/643 is
GCF of Numerators i.e. for 8468,3766 is 2
LCM of denominators i.e. for 349,643 is 224407.
Thus, GCF of Fractions is 2/224407.Finally, GCF of Fractions for 8468/349, 3766/643 is 2/224407.