GCF of 4548/652, 6975/734
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4548/652, 6975/734 i.e 3/239284 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4548/652, 6975/734.
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 4548/652,6975/734?
Given fractions are 4548/652,6975/734
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 4548/652,6975/734, numerators are 4548,6975
Denominators are 652,734
The GCF of 4548,6975 is 3 .
LCM of 652,734 is 239284.
The greatest common factor of 4548/652,6975/734 = [GCF of 4548,6975]/[LCM of 652,734]= 3/239284
Therefore, the GCF of 4548/652,6975/734 is 3/239284.
To find the highest common factor of 4548,6975, we have to find the factors of both numbers and list the highest common factor.
The factors of 4548 are 1, 2, 3, 4, 6, 12, 379, 758, 1137, 1516, 2274, 4548
The factors of 6975 are 1, 3, 5, 9, 15, 25, 31, 45, 75, 93, 155, 225, 279, 465, 775, 1395, 2325, 6975
The HCF of 4548,6975 is 3.
Lets's calculate GCF of 4548,6975
| 3 | 4548, 6975 |
| 1516, 2325 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4548,6975 By Matching Biggest Common Factor Method
Now, list down the factors of 4548
:1,2,3,4,6,12,379,758,1137,1516,2274,4548
Now, list down the factors of 6975
:1,3,5,9,15,25,31,45,75,93,155,225,279,465,775,1395,2325,6975
Greatest Common Factor
We found the factors 4548,6975 . The biggest common factor number is the GCF number.
So the greatest common factor 4548,6975 is 3.
Lets's calculate LCM of 652,734
| 2 | 652, 734 |
| 326, 367 |
∴ So the LCM of the given numbers is 2 x 326 x 367 = 239284
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/239284
Therefore, the GCF of Fractions 4548/652,6975/734 is 3/239284
Least Common Multiple of 652,734 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 652,734 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(652,734) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(652,734) x common factors =2 x 1 = 2
LCM(652,734) = ( 652 × 734 ) / 2
LCM(652,734) = 478568 / 2
LCM(652,734) = 239284
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FAQs on GCF of Fractions of 4548/652, 6975/734
1. What is the HCF of 4548,6975?
The HCF of 4548,6975 is 3
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 4548/652, 6975/734?
Answer: GCF of Numerators as per given numbers 4548/652, 6975/734 is
GCF of Numerators i.e. for 4548,6975 is 3
LCM of denominators i.e. for 652,734 is 239284.
Thus, GCF of Fractions is 3/239284.Finally, GCF of Fractions for 4548/652, 6975/734 is 3/239284.