GCF of 3124/978, 7364/673
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3124/978, 7364/673 i.e 4/658194 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3124/978, 7364/673.
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 3124/978,7364/673?
Given fractions are 3124/978,7364/673
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 3124/978,7364/673, numerators are 3124,7364
Denominators are 978,673
The GCF of 3124,7364 is 4 .
LCM of 978,673 is 658194.
The greatest common factor of 3124/978,7364/673 = [GCF of 3124,7364]/[LCM of 978,673]= 4/658194
Therefore, the GCF of 3124/978,7364/673 is 4/658194.
To find the highest common factor of 3124,7364, 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 7364 are 1, 2, 4, 7, 14, 28, 263, 526, 1052, 1841, 3682, 7364
The HCF of 3124,7364 is 4.
Lets's calculate GCF of 3124,7364
| 2 | 3124, 7364 |
| 2 | 1562, 3682 |
| 781, 1841 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 3124,7364 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 7364
:1,2,4,7,14,28,263,526,1052,1841,3682,7364
Greatest Common Factor
We found the factors 3124,7364 . The biggest common factor number is the GCF number.
So the greatest common factor 3124,7364 is 4.
Lets's calculate LCM of 978,673
Given numbers has no common factors except 1. So, there LCM is their product i.e 658194
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/658194
Therefore, the GCF of Fractions 3124/978,7364/673 is 4/658194
Least Common Multiple of 978,673 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 978,673 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(978,673) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(978,673) x common factors =1 x 1 = 1
LCM(978,673) = ( 978 × 673 ) / 1
LCM(978,673) = 658194 / 1
LCM(978,673) = 658194
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FAQs on GCF of Fractions of 3124/978, 7364/673
1. What is the HCF of 3124,7364?
The HCF of 3124,7364 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 3124/978, 7364/673?
Answer: GCF of Numerators as per given numbers 3124/978, 7364/673 is
GCF of Numerators i.e. for 3124,7364 is 4
LCM of denominators i.e. for 978,673 is 658194.
Thus, GCF of Fractions is 4/658194.Finally, GCF of Fractions for 3124/978, 7364/673 is 4/658194.