GCF of 3124/902, 9048/8236
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3124/902, 9048/8236 i.e 4/3714436 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3124/902, 9048/8236.
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 3124/902,9048/8236?
Given fractions are 3124/902,9048/8236
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 3124/902,9048/8236, numerators are 3124,9048
Denominators are 902,8236
The GCF of 3124,9048 is 4 .
LCM of 902,8236 is 3714436.
The greatest common factor of 3124/902,9048/8236 = [GCF of 3124,9048]/[LCM of 902,8236]= 4/3714436
Therefore, the GCF of 3124/902,9048/8236 is 4/3714436.
To find the highest common factor of 3124,9048, we have to find the factors of both numbers and list the highest common factor.
The factors of 3124 are 1, 2, 4, 11, 22, 44, 71, 142, 284, 781, 1562, 3124
The factors of 9048 are 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 29, 39, 52, 58, 78, 87, 104, 116, 156, 174, 232, 312, 348, 377, 696, 754, 1131, 1508, 2262, 3016, 4524, 9048
The HCF of 3124,9048 is 4.
Lets's calculate GCF of 3124,9048
| 2 | 3124, 9048 |
| 2 | 1562, 4524 |
| 781, 2262 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 3124,9048 By Matching Biggest Common Factor Method
Now, list down the factors of 3124
:1,2,4,11,22,44,71,142,284,781,1562,3124
Now, list down the factors of 9048
:1,2,3,4,6,8,12,13,24,26,29,39,52,58,78,87,104,116,156,174,232,312,348,377,696,754,1131,1508,2262,3016,4524,9048
Greatest Common Factor
We found the factors 3124,9048 . The biggest common factor number is the GCF number.
So the greatest common factor 3124,9048 is 4.
Lets's calculate LCM of 902,8236
| 2 | 902, 8236 |
| 451, 4118 |
∴ So the LCM of the given numbers is 2 x 451 x 4118 = 3714436
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/3714436
Therefore, the GCF of Fractions 3124/902,9048/8236 is 4/3714436
Least Common Multiple of 902,8236 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 902,8236 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(902,8236) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(902,8236) x common factors =2 x 1 = 2
LCM(902,8236) = ( 902 × 8236 ) / 2
LCM(902,8236) = 7428872 / 2
LCM(902,8236) = 3714436
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3124/902, 9048/8236
1. What is the HCF of 3124,9048?
The HCF of 3124,9048 is 4
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 3124/902, 9048/8236?
Answer: GCF of Numerators as per given numbers 3124/902, 9048/8236 is
GCF of Numerators i.e. for 3124,9048 is 4
LCM of denominators i.e. for 902,8236 is 3714436.
Thus, GCF of Fractions is 4/3714436.Finally, GCF of Fractions for 3124/902, 9048/8236 is 4/3714436.