GCF of 9248/864, 7715/2214
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9248/864, 7715/2214 i.e 1/35424 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9248/864, 7715/2214.
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 9248/864,7715/2214?
Given fractions are 9248/864,7715/2214
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 9248/864,7715/2214, numerators are 9248,7715
Denominators are 864,2214
The GCF of 9248,7715 is 1 .
LCM of 864,2214 is 35424.
The greatest common factor of 9248/864,7715/2214 = [GCF of 9248,7715]/[LCM of 864,2214]= 1/35424
Therefore, the GCF of 9248/864,7715/2214 is 1/35424.
To find the highest common factor of 9248,7715, we have to find the factors of both numbers and list the highest common factor.
The factors of 9248 are 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 289, 544, 578, 1156, 2312, 4624, 9248
The factors of 7715 are 1, 5, 1543, 7715
The HCF of 9248,7715 is 1.
Lets's calculate GCF of 9248,7715
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9248,7715 By Matching Biggest Common Factor Method
Now, list down the factors of 9248
:1,2,4,8,16,17,32,34,68,136,272,289,544,578,1156,2312,4624,9248
Now, list down the factors of 7715
:1,5,1543,7715
Greatest Common Factor
We found the factors 9248,7715 . The biggest common factor number is the GCF number.
So the greatest common factor 9248,7715 is 1.
Lets's calculate LCM of 864,2214
| 2 | 864, 2214 |
| 3 | 432, 1107 |
| 3 | 144, 369 |
| 3 | 48, 123 |
| 16, 41 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 16 x 41 = 35424
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35424
Therefore, the GCF of Fractions 9248/864,7715/2214 is 1/35424
Least Common Multiple of 864,2214 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 864,2214 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(864,2214) = 54
common factors(in case of two or more numbers have common factors) = 1
GCF(864,2214) x common factors =54 x 1 = 54
LCM(864,2214) = ( 864 × 2214 ) / 54
LCM(864,2214) = 1912896 / 54
LCM(864,2214) = 35424
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9248/864, 7715/2214
1. What is the HCF of 9248,7715?
The HCF of 9248,7715 is 1
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 9248/864, 7715/2214?
Answer: GCF of Numerators as per given numbers 9248/864, 7715/2214 is
GCF of Numerators i.e. for 9248,7715 is 1
LCM of denominators i.e. for 864,2214 is 35424.
Thus, GCF of Fractions is 1/35424.Finally, GCF of Fractions for 9248/864, 7715/2214 is 1/35424.