GCF of 8922/637, 5850/6586
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8922/637, 5850/6586 i.e 6/4195282 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8922/637, 5850/6586.
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 8922/637,5850/6586?
Given fractions are 8922/637,5850/6586
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 8922/637,5850/6586, numerators are 8922,5850
Denominators are 637,6586
The GCF of 8922,5850 is 6 .
LCM of 637,6586 is 4195282.
The greatest common factor of 8922/637,5850/6586 = [GCF of 8922,5850]/[LCM of 637,6586]= 6/4195282
Therefore, the GCF of 8922/637,5850/6586 is 6/4195282.
To find the highest common factor of 8922,5850, we have to find the factors of both numbers and list the highest common factor.
The factors of 8922 are 1, 2, 3, 6, 1487, 2974, 4461, 8922
The factors of 5850 are 1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 25, 26, 30, 39, 45, 50, 65, 75, 78, 90, 117, 130, 150, 195, 225, 234, 325, 390, 450, 585, 650, 975, 1170, 1950, 2925, 5850
The HCF of 8922,5850 is 6.
Lets's calculate GCF of 8922,5850
| 2 | 8922, 5850 |
| 3 | 4461, 2925 |
| 1487, 975 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 8922,5850 By Matching Biggest Common Factor Method
Now, list down the factors of 8922
:1,2,3,6,1487,2974,4461,8922
Now, list down the factors of 5850
:1,2,3,5,6,9,10,13,15,18,25,26,30,39,45,50,65,75,78,90,117,130,150,195,225,234,325,390,450,585,650,975,1170,1950,2925,5850
Greatest Common Factor
We found the factors 8922,5850 . The biggest common factor number is the GCF number.
So the greatest common factor 8922,5850 is 6.
Lets's calculate LCM of 637,6586
Given numbers has no common factors except 1. So, there LCM is their product i.e 4195282
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/4195282
Therefore, the GCF of Fractions 8922/637,5850/6586 is 6/4195282
Least Common Multiple of 637,6586 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 637,6586 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(637,6586) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(637,6586) x common factors =1 x 1 = 1
LCM(637,6586) = ( 637 × 6586 ) / 1
LCM(637,6586) = 4195282 / 1
LCM(637,6586) = 4195282
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FAQs on GCF of Fractions of 8922/637, 5850/6586
1. What is the HCF of 8922,5850?
The HCF of 8922,5850 is 6
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 8922/637, 5850/6586?
Answer: GCF of Numerators as per given numbers 8922/637, 5850/6586 is
GCF of Numerators i.e. for 8922,5850 is 6
LCM of denominators i.e. for 637,6586 is 4195282.
Thus, GCF of Fractions is 6/4195282.Finally, GCF of Fractions for 8922/637, 5850/6586 is 6/4195282.