GCF of 3130/69, 1878/733
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3130/69, 1878/733 i.e 626/50577 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3130/69, 1878/733.
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 3130/69,1878/733?
Given fractions are 3130/69,1878/733
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 3130/69,1878/733, numerators are 3130,1878
Denominators are 69,733
The GCF of 3130,1878 is 626 .
LCM of 69,733 is 50577.
The greatest common factor of 3130/69,1878/733 = [GCF of 3130,1878]/[LCM of 69,733]= 626/50577
Therefore, the GCF of 3130/69,1878/733 is 626/50577.
To find the highest common factor of 3130,1878, we have to find the factors of both numbers and list the highest common factor.
The factors of 3130 are 1, 2, 5, 10, 313, 626, 1565, 3130
The factors of 1878 are 1, 2, 3, 6, 313, 626, 939, 1878
The HCF of 3130,1878 is 626.
Lets's calculate GCF of 3130,1878
| 2 | 3130, 1878 |
| 313 | 1565, 939 |
| 5, 3 |
∴ So the GCF of the given numbers is 2 x 313 = 626
Greatest Common Factor of 3130,1878 By Matching Biggest Common Factor Method
Now, list down the factors of 3130
:1,2,5,10,313,626,1565,3130
Now, list down the factors of 1878
:1,2,3,6,313,626,939,1878
Greatest Common Factor
We found the factors 3130,1878 . The biggest common factor number is the GCF number.
So the greatest common factor 3130,1878 is 626.
Lets's calculate LCM of 69,733
Given numbers has no common factors except 1. So, there LCM is their product i.e 50577
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 626/50577
Therefore, the GCF of Fractions 3130/69,1878/733 is 626/50577
Least Common Multiple of 69,733 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 69,733 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(69,733) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(69,733) x common factors =1 x 1 = 1
LCM(69,733) = ( 69 × 733 ) / 1
LCM(69,733) = 50577 / 1
LCM(69,733) = 50577
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FAQs on GCF of Fractions of 3130/69, 1878/733
1. What is the HCF of 3130,1878?
The HCF of 3130,1878 is 626
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 3130/69, 1878/733?
Answer: GCF of Numerators as per given numbers 3130/69, 1878/733 is
GCF of Numerators i.e. for 3130,1878 is 626
LCM of denominators i.e. for 69,733 is 50577.
Thus, GCF of Fractions is 626/50577.Finally, GCF of Fractions for 3130/69, 1878/733 is 626/50577.