GCF of 4219/100, 4692/8658
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4219/100, 4692/8658 i.e 1/432900 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4219/100, 4692/8658.
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 4219/100,4692/8658?
Given fractions are 4219/100,4692/8658
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 4219/100,4692/8658, numerators are 4219,4692
Denominators are 100,8658
The GCF of 4219,4692 is 1 .
LCM of 100,8658 is 432900.
The greatest common factor of 4219/100,4692/8658 = [GCF of 4219,4692]/[LCM of 100,8658]= 1/432900
Therefore, the GCF of 4219/100,4692/8658 is 1/432900.
To find the highest common factor of 4219,4692, we have to find the factors of both numbers and list the highest common factor.
The factors of 4219 are 1, 4219
The factors of 4692 are 1, 2, 3, 4, 6, 12, 17, 23, 34, 46, 51, 68, 69, 92, 102, 138, 204, 276, 391, 782, 1173, 1564, 2346, 4692
The HCF of 4219,4692 is 1.
Lets's calculate GCF of 4219,4692
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4219,4692 By Matching Biggest Common Factor Method
Now, list down the factors of 4219
:1,4219
Now, list down the factors of 4692
:1,2,3,4,6,12,17,23,34,46,51,68,69,92,102,138,204,276,391,782,1173,1564,2346,4692
Greatest Common Factor
We found the factors 4219,4692 . The biggest common factor number is the GCF number.
So the greatest common factor 4219,4692 is 1.
Lets's calculate LCM of 100,8658
| 2 | 100, 8658 |
| 50, 4329 |
∴ So the LCM of the given numbers is 2 x 50 x 4329 = 432900
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/432900
Therefore, the GCF of Fractions 4219/100,4692/8658 is 1/432900
Least Common Multiple of 100,8658 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 100,8658 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(100,8658) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(100,8658) x common factors =2 x 1 = 2
LCM(100,8658) = ( 100 × 8658 ) / 2
LCM(100,8658) = 865800 / 2
LCM(100,8658) = 432900
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FAQs on GCF of Fractions of 4219/100, 4692/8658
1. What is the HCF of 4219,4692?
The HCF of 4219,4692 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 4219/100, 4692/8658?
Answer: GCF of Numerators as per given numbers 4219/100, 4692/8658 is
GCF of Numerators i.e. for 4219,4692 is 1
LCM of denominators i.e. for 100,8658 is 432900.
Thus, GCF of Fractions is 1/432900.Finally, GCF of Fractions for 4219/100, 4692/8658 is 1/432900.