GCF of 3074/141, 9390/3998
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3074/141, 9390/3998 i.e 2/563718 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3074/141, 9390/3998.
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 3074/141,9390/3998?
Given fractions are 3074/141,9390/3998
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 3074/141,9390/3998, numerators are 3074,9390
Denominators are 141,3998
The GCF of 3074,9390 is 2 .
LCM of 141,3998 is 563718.
The greatest common factor of 3074/141,9390/3998 = [GCF of 3074,9390]/[LCM of 141,3998]= 2/563718
Therefore, the GCF of 3074/141,9390/3998 is 2/563718.
To find the highest common factor of 3074,9390, we have to find the factors of both numbers and list the highest common factor.
The factors of 3074 are 1, 2, 29, 53, 58, 106, 1537, 3074
The factors of 9390 are 1, 2, 3, 5, 6, 10, 15, 30, 313, 626, 939, 1565, 1878, 3130, 4695, 9390
The HCF of 3074,9390 is 2.
Lets's calculate GCF of 3074,9390
| 2 | 3074, 9390 |
| 1537, 4695 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3074,9390 By Matching Biggest Common Factor Method
Now, list down the factors of 3074
:1,2,29,53,58,106,1537,3074
Now, list down the factors of 9390
:1,2,3,5,6,10,15,30,313,626,939,1565,1878,3130,4695,9390
Greatest Common Factor
We found the factors 3074,9390 . The biggest common factor number is the GCF number.
So the greatest common factor 3074,9390 is 2.
Lets's calculate LCM of 141,3998
Given numbers has no common factors except 1. So, there LCM is their product i.e 563718
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/563718
Therefore, the GCF of Fractions 3074/141,9390/3998 is 2/563718
Least Common Multiple of 141,3998 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 141,3998 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(141,3998) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(141,3998) x common factors =1 x 1 = 1
LCM(141,3998) = ( 141 × 3998 ) / 1
LCM(141,3998) = 563718 / 1
LCM(141,3998) = 563718
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FAQs on GCF of Fractions of 3074/141, 9390/3998
1. What is the HCF of 3074,9390?
The HCF of 3074,9390 is 2
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 3074/141, 9390/3998?
Answer: GCF of Numerators as per given numbers 3074/141, 9390/3998 is
GCF of Numerators i.e. for 3074,9390 is 2
LCM of denominators i.e. for 141,3998 is 563718.
Thus, GCF of Fractions is 2/563718.Finally, GCF of Fractions for 3074/141, 9390/3998 is 2/563718.