GCF of 1776/952, 5664/768
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1776/952, 5664/768 i.e 48/91392 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1776/952, 5664/768.
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 1776/952,5664/768?
Given fractions are 1776/952,5664/768
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 1776/952,5664/768, numerators are 1776,5664
Denominators are 952,768
The GCF of 1776,5664 is 48 .
LCM of 952,768 is 91392.
The greatest common factor of 1776/952,5664/768 = [GCF of 1776,5664]/[LCM of 952,768]= 48/91392
Therefore, the GCF of 1776/952,5664/768 is 48/91392.
To find the highest common factor of 1776,5664, we have to find the factors of both numbers and list the highest common factor.
The factors of 1776 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 37, 48, 74, 111, 148, 222, 296, 444, 592, 888, 1776
The factors of 5664 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 59, 96, 118, 177, 236, 354, 472, 708, 944, 1416, 1888, 2832, 5664
The HCF of 1776,5664 is 48.
Lets's calculate GCF of 1776,5664
| 2 | 1776, 5664 |
| 2 | 888, 2832 |
| 2 | 444, 1416 |
| 2 | 222, 708 |
| 3 | 111, 354 |
| 37, 118 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 3 = 48
Greatest Common Factor of 1776,5664 By Matching Biggest Common Factor Method
Now, list down the factors of 1776
:1,2,3,4,6,8,12,16,24,37,48,74,111,148,222,296,444,592,888,1776
Now, list down the factors of 5664
:1,2,3,4,6,8,12,16,24,32,48,59,96,118,177,236,354,472,708,944,1416,1888,2832,5664
Greatest Common Factor
We found the factors 1776,5664 . The biggest common factor number is the GCF number.
So the greatest common factor 1776,5664 is 48.
Lets's calculate LCM of 952,768
| 2 | 952, 768 |
| 2 | 476, 384 |
| 2 | 238, 192 |
| 119, 96 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 119 x 96 = 91392
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 48/91392
Therefore, the GCF of Fractions 1776/952,5664/768 is 48/91392
Least Common Multiple of 952,768 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 952,768 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(952,768) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(952,768) x common factors =8 x 1 = 8
LCM(952,768) = ( 952 × 768 ) / 8
LCM(952,768) = 731136 / 8
LCM(952,768) = 91392
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FAQs on GCF of Fractions of 1776/952, 5664/768
1. What is the HCF of 1776,5664?
The HCF of 1776,5664 is 48
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 1776/952, 5664/768?
Answer: GCF of Numerators as per given numbers 1776/952, 5664/768 is
GCF of Numerators i.e. for 1776,5664 is 48
LCM of denominators i.e. for 952,768 is 91392.
Thus, GCF of Fractions is 48/91392.Finally, GCF of Fractions for 1776/952, 5664/768 is 48/91392.