GCF of 6249/435, 4884/385
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6249/435, 4884/385 i.e 3/33495 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6249/435, 4884/385.
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 6249/435,4884/385?
Given fractions are 6249/435,4884/385
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 6249/435,4884/385, numerators are 6249,4884
Denominators are 435,385
The GCF of 6249,4884 is 3 .
LCM of 435,385 is 33495.
The greatest common factor of 6249/435,4884/385 = [GCF of 6249,4884]/[LCM of 435,385]= 3/33495
Therefore, the GCF of 6249/435,4884/385 is 3/33495.
To find the highest common factor of 6249,4884, we have to find the factors of both numbers and list the highest common factor.
The factors of 6249 are 1, 3, 2083, 6249
The factors of 4884 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 37, 44, 66, 74, 111, 132, 148, 222, 407, 444, 814, 1221, 1628, 2442, 4884
The HCF of 6249,4884 is 3.
Lets's calculate GCF of 6249,4884
| 3 | 6249, 4884 |
| 2083, 1628 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6249,4884 By Matching Biggest Common Factor Method
Now, list down the factors of 6249
:1,3,2083,6249
Now, list down the factors of 4884
:1,2,3,4,6,11,12,22,33,37,44,66,74,111,132,148,222,407,444,814,1221,1628,2442,4884
Greatest Common Factor
We found the factors 6249,4884 . The biggest common factor number is the GCF number.
So the greatest common factor 6249,4884 is 3.
Lets's calculate LCM of 435,385
| 5 | 435, 385 |
| 87, 77 |
∴ So the LCM of the given numbers is 5 x 87 x 77 = 33495
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/33495
Therefore, the GCF of Fractions 6249/435,4884/385 is 3/33495
Least Common Multiple of 435,385 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 435,385 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(435,385) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(435,385) x common factors =5 x 1 = 5
LCM(435,385) = ( 435 × 385 ) / 5
LCM(435,385) = 167475 / 5
LCM(435,385) = 33495
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FAQs on GCF of Fractions of 6249/435, 4884/385
1. What is the HCF of 6249,4884?
The HCF of 6249,4884 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 6249/435, 4884/385?
Answer: GCF of Numerators as per given numbers 6249/435, 4884/385 is
GCF of Numerators i.e. for 6249,4884 is 3
LCM of denominators i.e. for 435,385 is 33495.
Thus, GCF of Fractions is 3/33495.Finally, GCF of Fractions for 6249/435, 4884/385 is 3/33495.