GCF of 7504/667, 5804/9541
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7504/667, 5804/9541 i.e 4/219443 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7504/667, 5804/9541.
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 7504/667,5804/9541?
Given fractions are 7504/667,5804/9541
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 7504/667,5804/9541, numerators are 7504,5804
Denominators are 667,9541
The GCF of 7504,5804 is 4 .
LCM of 667,9541 is 219443.
The greatest common factor of 7504/667,5804/9541 = [GCF of 7504,5804]/[LCM of 667,9541]= 4/219443
Therefore, the GCF of 7504/667,5804/9541 is 4/219443.
To find the highest common factor of 7504,5804, we have to find the factors of both numbers and list the highest common factor.
The factors of 7504 are 1, 2, 4, 7, 8, 14, 16, 28, 56, 67, 112, 134, 268, 469, 536, 938, 1072, 1876, 3752, 7504
The factors of 5804 are 1, 2, 4, 1451, 2902, 5804
The HCF of 7504,5804 is 4.
Lets's calculate GCF of 7504,5804
| 2 | 7504, 5804 |
| 2 | 3752, 2902 |
| 1876, 1451 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 7504,5804 By Matching Biggest Common Factor Method
Now, list down the factors of 7504
:1,2,4,7,8,14,16,28,56,67,112,134,268,469,536,938,1072,1876,3752,7504
Now, list down the factors of 5804
:1,2,4,1451,2902,5804
Greatest Common Factor
We found the factors 7504,5804 . The biggest common factor number is the GCF number.
So the greatest common factor 7504,5804 is 4.
Lets's calculate LCM of 667,9541
| 29 | 667, 9541 |
| 23, 329 |
∴ So the LCM of the given numbers is 29 x 23 x 329 = 219443
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/219443
Therefore, the GCF of Fractions 7504/667,5804/9541 is 4/219443
Least Common Multiple of 667,9541 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 667,9541 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(667,9541) = 29
common factors(in case of two or more numbers have common factors) = 1
GCF(667,9541) x common factors =29 x 1 = 29
LCM(667,9541) = ( 667 × 9541 ) / 29
LCM(667,9541) = 6363847 / 29
LCM(667,9541) = 219443
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FAQs on GCF of Fractions of 7504/667, 5804/9541
1. What is the HCF of 7504,5804?
The HCF of 7504,5804 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 7504/667, 5804/9541?
Answer: GCF of Numerators as per given numbers 7504/667, 5804/9541 is
GCF of Numerators i.e. for 7504,5804 is 4
LCM of denominators i.e. for 667,9541 is 219443.
Thus, GCF of Fractions is 4/219443.Finally, GCF of Fractions for 7504/667, 5804/9541 is 4/219443.