GCF of 8632/747, 7312/4722
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8632/747, 7312/4722 i.e 8/1175778 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8632/747, 7312/4722.
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 8632/747,7312/4722?
Given fractions are 8632/747,7312/4722
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 8632/747,7312/4722, numerators are 8632,7312
Denominators are 747,4722
The GCF of 8632,7312 is 8 .
LCM of 747,4722 is 1175778.
The greatest common factor of 8632/747,7312/4722 = [GCF of 8632,7312]/[LCM of 747,4722]= 8/1175778
Therefore, the GCF of 8632/747,7312/4722 is 8/1175778.
To find the highest common factor of 8632,7312, we have to find the factors of both numbers and list the highest common factor.
The factors of 8632 are 1, 2, 4, 8, 13, 26, 52, 83, 104, 166, 332, 664, 1079, 2158, 4316, 8632
The factors of 7312 are 1, 2, 4, 8, 16, 457, 914, 1828, 3656, 7312
The HCF of 8632,7312 is 8.
Lets's calculate GCF of 8632,7312
| 2 | 8632, 7312 |
| 2 | 4316, 3656 |
| 2 | 2158, 1828 |
| 1079, 914 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 8632,7312 By Matching Biggest Common Factor Method
Now, list down the factors of 8632
:1,2,4,8,13,26,52,83,104,166,332,664,1079,2158,4316,8632
Now, list down the factors of 7312
:1,2,4,8,16,457,914,1828,3656,7312
Greatest Common Factor
We found the factors 8632,7312 . The biggest common factor number is the GCF number.
So the greatest common factor 8632,7312 is 8.
Lets's calculate LCM of 747,4722
| 3 | 747, 4722 |
| 249, 1574 |
∴ So the LCM of the given numbers is 3 x 249 x 1574 = 1175778
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/1175778
Therefore, the GCF of Fractions 8632/747,7312/4722 is 8/1175778
Least Common Multiple of 747,4722 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 747,4722 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(747,4722) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(747,4722) x common factors =3 x 1 = 3
LCM(747,4722) = ( 747 × 4722 ) / 3
LCM(747,4722) = 3527334 / 3
LCM(747,4722) = 1175778
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FAQs on GCF of Fractions of 8632/747, 7312/4722
1. What is the HCF of 8632,7312?
The HCF of 8632,7312 is 8
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 8632/747, 7312/4722?
Answer: GCF of Numerators as per given numbers 8632/747, 7312/4722 is
GCF of Numerators i.e. for 8632,7312 is 8
LCM of denominators i.e. for 747,4722 is 1175778.
Thus, GCF of Fractions is 8/1175778.Finally, GCF of Fractions for 8632/747, 7312/4722 is 8/1175778.