GCF of 3604/978, 2312/1065
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3604/978, 2312/1065 i.e 68/347190 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3604/978, 2312/1065.
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 3604/978,2312/1065?
Given fractions are 3604/978,2312/1065
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 3604/978,2312/1065, numerators are 3604,2312
Denominators are 978,1065
The GCF of 3604,2312 is 68 .
LCM of 978,1065 is 347190.
The greatest common factor of 3604/978,2312/1065 = [GCF of 3604,2312]/[LCM of 978,1065]= 68/347190
Therefore, the GCF of 3604/978,2312/1065 is 68/347190.
To find the highest common factor of 3604,2312, we have to find the factors of both numbers and list the highest common factor.
The factors of 3604 are 1, 2, 4, 17, 34, 53, 68, 106, 212, 901, 1802, 3604
The factors of 2312 are 1, 2, 4, 8, 17, 34, 68, 136, 289, 578, 1156, 2312
The HCF of 3604,2312 is 68.
Lets's calculate GCF of 3604,2312
| 2 | 3604, 2312 |
| 2 | 1802, 1156 |
| 17 | 901, 578 |
| 53, 34 |
∴ So the GCF of the given numbers is 2 x 2 x 17 = 68
Greatest Common Factor of 3604,2312 By Matching Biggest Common Factor Method
Now, list down the factors of 3604
:1,2,4,17,34,53,68,106,212,901,1802,3604
Now, list down the factors of 2312
:1,2,4,8,17,34,68,136,289,578,1156,2312
Greatest Common Factor
We found the factors 3604,2312 . The biggest common factor number is the GCF number.
So the greatest common factor 3604,2312 is 68.
Lets's calculate LCM of 978,1065
| 3 | 978, 1065 |
| 326, 355 |
∴ So the LCM of the given numbers is 3 x 326 x 355 = 347190
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 68/347190
Therefore, the GCF of Fractions 3604/978,2312/1065 is 68/347190
Least Common Multiple of 978,1065 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 978,1065 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(978,1065) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(978,1065) x common factors =3 x 1 = 3
LCM(978,1065) = ( 978 × 1065 ) / 3
LCM(978,1065) = 1041570 / 3
LCM(978,1065) = 347190
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FAQs on GCF of Fractions of 3604/978, 2312/1065
1. What is the HCF of 3604,2312?
The HCF of 3604,2312 is 68
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 3604/978, 2312/1065?
Answer: GCF of Numerators as per given numbers 3604/978, 2312/1065 is
GCF of Numerators i.e. for 3604,2312 is 68
LCM of denominators i.e. for 978,1065 is 347190.
Thus, GCF of Fractions is 68/347190.Finally, GCF of Fractions for 3604/978, 2312/1065 is 68/347190.