GCF of 552/649, 7752/2824
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 552/649, 7752/2824 i.e 24/1832776 easily. The following is the detailed procedure to determine the greatest common factor of fractions 552/649, 7752/2824.
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 552/649,7752/2824?
Given fractions are 552/649,7752/2824
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 552/649,7752/2824, numerators are 552,7752
Denominators are 649,2824
The GCF of 552,7752 is 24 .
LCM of 649,2824 is 1832776.
The greatest common factor of 552/649,7752/2824 = [GCF of 552,7752]/[LCM of 649,2824]= 24/1832776
Therefore, the GCF of 552/649,7752/2824 is 24/1832776.
To find the highest common factor of 552,7752, we have to find the factors of both numbers and list the highest common factor.
The factors of 552 are 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
The factors of 7752 are 1, 2, 3, 4, 6, 8, 12, 17, 19, 24, 34, 38, 51, 57, 68, 76, 102, 114, 136, 152, 204, 228, 323, 408, 456, 646, 969, 1292, 1938, 2584, 3876, 7752
The HCF of 552,7752 is 24.
Lets's calculate GCF of 552,7752
| 2 | 552, 7752 |
| 2 | 276, 3876 |
| 2 | 138, 1938 |
| 3 | 69, 969 |
| 23, 323 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24
Greatest Common Factor of 552,7752 By Matching Biggest Common Factor Method
Now, list down the factors of 552
:1,2,3,4,6,8,12,23,24,46,69,92,138,184,276,552
Now, list down the factors of 7752
:1,2,3,4,6,8,12,17,19,24,34,38,51,57,68,76,102,114,136,152,204,228,323,408,456,646,969,1292,1938,2584,3876,7752
Greatest Common Factor
We found the factors 552,7752 . The biggest common factor number is the GCF number.
So the greatest common factor 552,7752 is 24.
Lets's calculate LCM of 649,2824
Given numbers has no common factors except 1. So, there LCM is their product i.e 1832776
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 24/1832776
Therefore, the GCF of Fractions 552/649,7752/2824 is 24/1832776
Least Common Multiple of 649,2824 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 649,2824 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(649,2824) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(649,2824) x common factors =1 x 1 = 1
LCM(649,2824) = ( 649 × 2824 ) / 1
LCM(649,2824) = 1832776 / 1
LCM(649,2824) = 1832776
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FAQs on GCF of Fractions of 552/649, 7752/2824
1. What is the HCF of 552,7752?
The HCF of 552,7752 is 24
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 552/649, 7752/2824?
Answer: GCF of Numerators as per given numbers 552/649, 7752/2824 is
GCF of Numerators i.e. for 552,7752 is 24
LCM of denominators i.e. for 649,2824 is 1832776.
Thus, GCF of Fractions is 24/1832776.Finally, GCF of Fractions for 552/649, 7752/2824 is 24/1832776.