GCF of 3676/903, 3120/3078
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3676/903, 3120/3078 i.e 4/926478 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3676/903, 3120/3078.
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 3676/903,3120/3078?
Given fractions are 3676/903,3120/3078
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 3676/903,3120/3078, numerators are 3676,3120
Denominators are 903,3078
The GCF of 3676,3120 is 4 .
LCM of 903,3078 is 926478.
The greatest common factor of 3676/903,3120/3078 = [GCF of 3676,3120]/[LCM of 903,3078]= 4/926478
Therefore, the GCF of 3676/903,3120/3078 is 4/926478.
To find the highest common factor of 3676,3120, we have to find the factors of both numbers and list the highest common factor.
The factors of 3676 are 1, 2, 4, 919, 1838, 3676
The factors of 3120 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 16, 20, 24, 26, 30, 39, 40, 48, 52, 60, 65, 78, 80, 104, 120, 130, 156, 195, 208, 240, 260, 312, 390, 520, 624, 780, 1040, 1560, 3120
The HCF of 3676,3120 is 4.
Lets's calculate GCF of 3676,3120
| 2 | 3676, 3120 |
| 2 | 1838, 1560 |
| 919, 780 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 3676,3120 By Matching Biggest Common Factor Method
Now, list down the factors of 3676
:1,2,4,919,1838,3676
Now, list down the factors of 3120
:1,2,3,4,5,6,8,10,12,13,15,16,20,24,26,30,39,40,48,52,60,65,78,80,104,120,130,156,195,208,240,260,312,390,520,624,780,1040,1560,3120
Greatest Common Factor
We found the factors 3676,3120 . The biggest common factor number is the GCF number.
So the greatest common factor 3676,3120 is 4.
Lets's calculate LCM of 903,3078
| 3 | 903, 3078 |
| 301, 1026 |
∴ So the LCM of the given numbers is 3 x 301 x 1026 = 926478
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/926478
Therefore, the GCF of Fractions 3676/903,3120/3078 is 4/926478
Least Common Multiple of 903,3078 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 903,3078 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(903,3078) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(903,3078) x common factors =3 x 1 = 3
LCM(903,3078) = ( 903 × 3078 ) / 3
LCM(903,3078) = 2779434 / 3
LCM(903,3078) = 926478
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FAQs on GCF of Fractions of 3676/903, 3120/3078
1. What is the HCF of 3676,3120?
The HCF of 3676,3120 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 3676/903, 3120/3078?
Answer: GCF of Numerators as per given numbers 3676/903, 3120/3078 is
GCF of Numerators i.e. for 3676,3120 is 4
LCM of denominators i.e. for 903,3078 is 926478.
Thus, GCF of Fractions is 4/926478.Finally, GCF of Fractions for 3676/903, 3120/3078 is 4/926478.