GCF of 4239/638, 8607/706
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4239/638, 8607/706 i.e 3/225214 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4239/638, 8607/706.
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 4239/638,8607/706?
Given fractions are 4239/638,8607/706
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 4239/638,8607/706, numerators are 4239,8607
Denominators are 638,706
The GCF of 4239,8607 is 3 .
LCM of 638,706 is 225214.
The greatest common factor of 4239/638,8607/706 = [GCF of 4239,8607]/[LCM of 638,706]= 3/225214
Therefore, the GCF of 4239/638,8607/706 is 3/225214.
To find the highest common factor of 4239,8607, we have to find the factors of both numbers and list the highest common factor.
The factors of 4239 are 1, 3, 9, 27, 157, 471, 1413, 4239
The factors of 8607 are 1, 3, 19, 57, 151, 453, 2869, 8607
The HCF of 4239,8607 is 3.
Lets's calculate GCF of 4239,8607
| 3 | 4239, 8607 |
| 1413, 2869 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4239,8607 By Matching Biggest Common Factor Method
Now, list down the factors of 4239
:1,3,9,27,157,471,1413,4239
Now, list down the factors of 8607
:1,3,19,57,151,453,2869,8607
Greatest Common Factor
We found the factors 4239,8607 . The biggest common factor number is the GCF number.
So the greatest common factor 4239,8607 is 3.
Lets's calculate LCM of 638,706
| 2 | 638, 706 |
| 319, 353 |
∴ So the LCM of the given numbers is 2 x 319 x 353 = 225214
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/225214
Therefore, the GCF of Fractions 4239/638,8607/706 is 3/225214
Least Common Multiple of 638,706 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 638,706 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(638,706) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(638,706) x common factors =2 x 1 = 2
LCM(638,706) = ( 638 × 706 ) / 2
LCM(638,706) = 450428 / 2
LCM(638,706) = 225214
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FAQs on GCF of Fractions of 4239/638, 8607/706
1. What is the HCF of 4239,8607?
The HCF of 4239,8607 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 4239/638, 8607/706?
Answer: GCF of Numerators as per given numbers 4239/638, 8607/706 is
GCF of Numerators i.e. for 4239,8607 is 3
LCM of denominators i.e. for 638,706 is 225214.
Thus, GCF of Fractions is 3/225214.Finally, GCF of Fractions for 4239/638, 8607/706 is 3/225214.