GCF of 8870/652, 4647/3672
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8870/652, 4647/3672 i.e 1/598536 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8870/652, 4647/3672.
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 8870/652,4647/3672?
Given fractions are 8870/652,4647/3672
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 8870/652,4647/3672, numerators are 8870,4647
Denominators are 652,3672
The GCF of 8870,4647 is 1 .
LCM of 652,3672 is 598536.
The greatest common factor of 8870/652,4647/3672 = [GCF of 8870,4647]/[LCM of 652,3672]= 1/598536
Therefore, the GCF of 8870/652,4647/3672 is 1/598536.
To find the highest common factor of 8870,4647, we have to find the factors of both numbers and list the highest common factor.
The factors of 8870 are 1, 2, 5, 10, 887, 1774, 4435, 8870
The factors of 4647 are 1, 3, 1549, 4647
The HCF of 8870,4647 is 1.
Lets's calculate GCF of 8870,4647
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8870,4647 By Matching Biggest Common Factor Method
Now, list down the factors of 8870
:1,2,5,10,887,1774,4435,8870
Now, list down the factors of 4647
:1,3,1549,4647
Greatest Common Factor
We found the factors 8870,4647 . The biggest common factor number is the GCF number.
So the greatest common factor 8870,4647 is 1.
Lets's calculate LCM of 652,3672
| 2 | 652, 3672 |
| 2 | 326, 1836 |
| 163, 918 |
∴ So the LCM of the given numbers is 2 x 2 x 163 x 918 = 598536
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/598536
Therefore, the GCF of Fractions 8870/652,4647/3672 is 1/598536
Least Common Multiple of 652,3672 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 652,3672 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(652,3672) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(652,3672) x common factors =4 x 1 = 4
LCM(652,3672) = ( 652 × 3672 ) / 4
LCM(652,3672) = 2394144 / 4
LCM(652,3672) = 598536
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FAQs on GCF of Fractions of 8870/652, 4647/3672
1. What is the HCF of 8870,4647?
The HCF of 8870,4647 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 8870/652, 4647/3672?
Answer: GCF of Numerators as per given numbers 8870/652, 4647/3672 is
GCF of Numerators i.e. for 8870,4647 is 1
LCM of denominators i.e. for 652,3672 is 598536.
Thus, GCF of Fractions is 1/598536.Finally, GCF of Fractions for 8870/652, 4647/3672 is 1/598536.