GCF of 5288/724, 5532/9941
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5288/724, 5532/9941 i.e 4/7197284 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5288/724, 5532/9941.
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 5288/724,5532/9941?
Given fractions are 5288/724,5532/9941
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 5288/724,5532/9941, numerators are 5288,5532
Denominators are 724,9941
The GCF of 5288,5532 is 4 .
LCM of 724,9941 is 7197284.
The greatest common factor of 5288/724,5532/9941 = [GCF of 5288,5532]/[LCM of 724,9941]= 4/7197284
Therefore, the GCF of 5288/724,5532/9941 is 4/7197284.
To find the highest common factor of 5288,5532, we have to find the factors of both numbers and list the highest common factor.
The factors of 5288 are 1, 2, 4, 8, 661, 1322, 2644, 5288
The factors of 5532 are 1, 2, 3, 4, 6, 12, 461, 922, 1383, 1844, 2766, 5532
The HCF of 5288,5532 is 4.
Lets's calculate GCF of 5288,5532
| 2 | 5288, 5532 |
| 2 | 2644, 2766 |
| 1322, 1383 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 5288,5532 By Matching Biggest Common Factor Method
Now, list down the factors of 5288
:1,2,4,8,661,1322,2644,5288
Now, list down the factors of 5532
:1,2,3,4,6,12,461,922,1383,1844,2766,5532
Greatest Common Factor
We found the factors 5288,5532 . The biggest common factor number is the GCF number.
So the greatest common factor 5288,5532 is 4.
Lets's calculate LCM of 724,9941
Given numbers has no common factors except 1. So, there LCM is their product i.e 7197284
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/7197284
Therefore, the GCF of Fractions 5288/724,5532/9941 is 4/7197284
Least Common Multiple of 724,9941 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 724,9941 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(724,9941) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(724,9941) x common factors =1 x 1 = 1
LCM(724,9941) = ( 724 × 9941 ) / 1
LCM(724,9941) = 7197284 / 1
LCM(724,9941) = 7197284
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FAQs on GCF of Fractions of 5288/724, 5532/9941
1. What is the HCF of 5288,5532?
The HCF of 5288,5532 is 4
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 5288/724, 5532/9941?
Answer: GCF of Numerators as per given numbers 5288/724, 5532/9941 is
GCF of Numerators i.e. for 5288,5532 is 4
LCM of denominators i.e. for 724,9941 is 7197284.
Thus, GCF of Fractions is 4/7197284.Finally, GCF of Fractions for 5288/724, 5532/9941 is 4/7197284.