GCF of 7264/174, 7644/909
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7264/174, 7644/909 i.e 4/52722 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7264/174, 7644/909.
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 7264/174,7644/909?
Given fractions are 7264/174,7644/909
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 7264/174,7644/909, numerators are 7264,7644
Denominators are 174,909
The GCF of 7264,7644 is 4 .
LCM of 174,909 is 52722.
The greatest common factor of 7264/174,7644/909 = [GCF of 7264,7644]/[LCM of 174,909]= 4/52722
Therefore, the GCF of 7264/174,7644/909 is 4/52722.
To find the highest common factor of 7264,7644, we have to find the factors of both numbers and list the highest common factor.
The factors of 7264 are 1, 2, 4, 8, 16, 32, 227, 454, 908, 1816, 3632, 7264
The factors of 7644 are 1, 2, 3, 4, 6, 7, 12, 13, 14, 21, 26, 28, 39, 42, 49, 52, 78, 84, 91, 98, 147, 156, 182, 196, 273, 294, 364, 546, 588, 637, 1092, 1274, 1911, 2548, 3822, 7644
The HCF of 7264,7644 is 4.
Lets's calculate GCF of 7264,7644
| 2 | 7264, 7644 |
| 2 | 3632, 3822 |
| 1816, 1911 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 7264,7644 By Matching Biggest Common Factor Method
Now, list down the factors of 7264
:1,2,4,8,16,32,227,454,908,1816,3632,7264
Now, list down the factors of 7644
:1,2,3,4,6,7,12,13,14,21,26,28,39,42,49,52,78,84,91,98,147,156,182,196,273,294,364,546,588,637,1092,1274,1911,2548,3822,7644
Greatest Common Factor
We found the factors 7264,7644 . The biggest common factor number is the GCF number.
So the greatest common factor 7264,7644 is 4.
Lets's calculate LCM of 174,909
| 3 | 174, 909 |
| 58, 303 |
∴ So the LCM of the given numbers is 3 x 58 x 303 = 52722
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/52722
Therefore, the GCF of Fractions 7264/174,7644/909 is 4/52722
Least Common Multiple of 174,909 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 174,909 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(174,909) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(174,909) x common factors =3 x 1 = 3
LCM(174,909) = ( 174 × 909 ) / 3
LCM(174,909) = 158166 / 3
LCM(174,909) = 52722
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7264/174, 7644/909
1. What is the HCF of 7264,7644?
The HCF of 7264,7644 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 7264/174, 7644/909?
Answer: GCF of Numerators as per given numbers 7264/174, 7644/909 is
GCF of Numerators i.e. for 7264,7644 is 4
LCM of denominators i.e. for 174,909 is 52722.
Thus, GCF of Fractions is 4/52722.Finally, GCF of Fractions for 7264/174, 7644/909 is 4/52722.