GCF of 3152/985, 4652/7440
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3152/985, 4652/7440 i.e 4/1465680 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3152/985, 4652/7440.
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 3152/985,4652/7440?
Given fractions are 3152/985,4652/7440
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 3152/985,4652/7440, numerators are 3152,4652
Denominators are 985,7440
The GCF of 3152,4652 is 4 .
LCM of 985,7440 is 1465680.
The greatest common factor of 3152/985,4652/7440 = [GCF of 3152,4652]/[LCM of 985,7440]= 4/1465680
Therefore, the GCF of 3152/985,4652/7440 is 4/1465680.
To find the highest common factor of 3152,4652, we have to find the factors of both numbers and list the highest common factor.
The factors of 3152 are 1, 2, 4, 8, 16, 197, 394, 788, 1576, 3152
The factors of 4652 are 1, 2, 4, 1163, 2326, 4652
The HCF of 3152,4652 is 4.
Lets's calculate GCF of 3152,4652
| 2 | 3152, 4652 |
| 2 | 1576, 2326 |
| 788, 1163 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 3152,4652 By Matching Biggest Common Factor Method
Now, list down the factors of 3152
:1,2,4,8,16,197,394,788,1576,3152
Now, list down the factors of 4652
:1,2,4,1163,2326,4652
Greatest Common Factor
We found the factors 3152,4652 . The biggest common factor number is the GCF number.
So the greatest common factor 3152,4652 is 4.
Lets's calculate LCM of 985,7440
| 5 | 985, 7440 |
| 197, 1488 |
∴ So the LCM of the given numbers is 5 x 197 x 1488 = 1465680
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1465680
Therefore, the GCF of Fractions 3152/985,4652/7440 is 4/1465680
Least Common Multiple of 985,7440 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 985,7440 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(985,7440) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(985,7440) x common factors =5 x 1 = 5
LCM(985,7440) = ( 985 × 7440 ) / 5
LCM(985,7440) = 7328400 / 5
LCM(985,7440) = 1465680
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 3152/985, 4652/7440
1. What is the HCF of 3152,4652?
The HCF of 3152,4652 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 3152/985, 4652/7440?
Answer: GCF of Numerators as per given numbers 3152/985, 4652/7440 is
GCF of Numerators i.e. for 3152,4652 is 4
LCM of denominators i.e. for 985,7440 is 1465680.
Thus, GCF of Fractions is 4/1465680.Finally, GCF of Fractions for 3152/985, 4652/7440 is 4/1465680.