GCF of 5534/752, 3551/2376
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5534/752, 3551/2376 i.e 1/223344 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5534/752, 3551/2376.
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 5534/752,3551/2376?
Given fractions are 5534/752,3551/2376
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 5534/752,3551/2376, numerators are 5534,3551
Denominators are 752,2376
The GCF of 5534,3551 is 1 .
LCM of 752,2376 is 223344.
The greatest common factor of 5534/752,3551/2376 = [GCF of 5534,3551]/[LCM of 752,2376]= 1/223344
Therefore, the GCF of 5534/752,3551/2376 is 1/223344.
To find the highest common factor of 5534,3551, we have to find the factors of both numbers and list the highest common factor.
The factors of 5534 are 1, 2, 2767, 5534
The factors of 3551 are 1, 53, 67, 3551
The HCF of 5534,3551 is 1.
Lets's calculate GCF of 5534,3551
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5534,3551 By Matching Biggest Common Factor Method
Now, list down the factors of 5534
:1,2,2767,5534
Now, list down the factors of 3551
:1,53,67,3551
Greatest Common Factor
We found the factors 5534,3551 . The biggest common factor number is the GCF number.
So the greatest common factor 5534,3551 is 1.
Lets's calculate LCM of 752,2376
| 2 | 752, 2376 |
| 2 | 376, 1188 |
| 2 | 188, 594 |
| 94, 297 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 94 x 297 = 223344
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/223344
Therefore, the GCF of Fractions 5534/752,3551/2376 is 1/223344
Least Common Multiple of 752,2376 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 752,2376 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(752,2376) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(752,2376) x common factors =8 x 1 = 8
LCM(752,2376) = ( 752 × 2376 ) / 8
LCM(752,2376) = 1786752 / 8
LCM(752,2376) = 223344
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FAQs on GCF of Fractions of 5534/752, 3551/2376
1. What is the HCF of 5534,3551?
The HCF of 5534,3551 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 5534/752, 3551/2376?
Answer: GCF of Numerators as per given numbers 5534/752, 3551/2376 is
GCF of Numerators i.e. for 5534,3551 is 1
LCM of denominators i.e. for 752,2376 is 223344.
Thus, GCF of Fractions is 1/223344.Finally, GCF of Fractions for 5534/752, 3551/2376 is 1/223344.