GCF of 7497/218, 5604/467
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7497/218, 5604/467 i.e 3/101806 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7497/218, 5604/467.
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 7497/218,5604/467?
Given fractions are 7497/218,5604/467
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 7497/218,5604/467, numerators are 7497,5604
Denominators are 218,467
The GCF of 7497,5604 is 3 .
LCM of 218,467 is 101806.
The greatest common factor of 7497/218,5604/467 = [GCF of 7497,5604]/[LCM of 218,467]= 3/101806
Therefore, the GCF of 7497/218,5604/467 is 3/101806.
To find the highest common factor of 7497,5604, we have to find the factors of both numbers and list the highest common factor.
The factors of 7497 are 1, 3, 7, 9, 17, 21, 49, 51, 63, 119, 147, 153, 357, 441, 833, 1071, 2499, 7497
The factors of 5604 are 1, 2, 3, 4, 6, 12, 467, 934, 1401, 1868, 2802, 5604
The HCF of 7497,5604 is 3.
Lets's calculate GCF of 7497,5604
| 3 | 7497, 5604 |
| 2499, 1868 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7497,5604 By Matching Biggest Common Factor Method
Now, list down the factors of 7497
:1,3,7,9,17,21,49,51,63,119,147,153,357,441,833,1071,2499,7497
Now, list down the factors of 5604
:1,2,3,4,6,12,467,934,1401,1868,2802,5604
Greatest Common Factor
We found the factors 7497,5604 . The biggest common factor number is the GCF number.
So the greatest common factor 7497,5604 is 3.
Lets's calculate LCM of 218,467
Given numbers has no common factors except 1. So, there LCM is their product i.e 101806
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/101806
Therefore, the GCF of Fractions 7497/218,5604/467 is 3/101806
Least Common Multiple of 218,467 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 218,467 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(218,467) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(218,467) x common factors =1 x 1 = 1
LCM(218,467) = ( 218 × 467 ) / 1
LCM(218,467) = 101806 / 1
LCM(218,467) = 101806
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FAQs on GCF of Fractions of 7497/218, 5604/467
1. What is the HCF of 7497,5604?
The HCF of 7497,5604 is 3
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 7497/218, 5604/467?
Answer: GCF of Numerators as per given numbers 7497/218, 5604/467 is
GCF of Numerators i.e. for 7497,5604 is 3
LCM of denominators i.e. for 218,467 is 101806.
Thus, GCF of Fractions is 3/101806.Finally, GCF of Fractions for 7497/218, 5604/467 is 3/101806.