GCF of 7574/469, 8791/9212
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7574/469, 8791/9212 i.e 1/617204 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7574/469, 8791/9212.
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 7574/469,8791/9212?
Given fractions are 7574/469,8791/9212
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 7574/469,8791/9212, numerators are 7574,8791
Denominators are 469,9212
The GCF of 7574,8791 is 1 .
LCM of 469,9212 is 617204.
The greatest common factor of 7574/469,8791/9212 = [GCF of 7574,8791]/[LCM of 469,9212]= 1/617204
Therefore, the GCF of 7574/469,8791/9212 is 1/617204.
To find the highest common factor of 7574,8791, we have to find the factors of both numbers and list the highest common factor.
The factors of 7574 are 1, 2, 7, 14, 541, 1082, 3787, 7574
The factors of 8791 are 1, 59, 149, 8791
The HCF of 7574,8791 is 1.
Lets's calculate GCF of 7574,8791
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7574,8791 By Matching Biggest Common Factor Method
Now, list down the factors of 7574
:1,2,7,14,541,1082,3787,7574
Now, list down the factors of 8791
:1,59,149,8791
Greatest Common Factor
We found the factors 7574,8791 . The biggest common factor number is the GCF number.
So the greatest common factor 7574,8791 is 1.
Lets's calculate LCM of 469,9212
| 7 | 469, 9212 |
| 67, 1316 |
∴ So the LCM of the given numbers is 7 x 67 x 1316 = 617204
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/617204
Therefore, the GCF of Fractions 7574/469,8791/9212 is 1/617204
Least Common Multiple of 469,9212 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 469,9212 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(469,9212) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(469,9212) x common factors =7 x 1 = 7
LCM(469,9212) = ( 469 × 9212 ) / 7
LCM(469,9212) = 4320428 / 7
LCM(469,9212) = 617204
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FAQs on GCF of Fractions of 7574/469, 8791/9212
1. What is the HCF of 7574,8791?
The HCF of 7574,8791 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 7574/469, 8791/9212?
Answer: GCF of Numerators as per given numbers 7574/469, 8791/9212 is
GCF of Numerators i.e. for 7574,8791 is 1
LCM of denominators i.e. for 469,9212 is 617204.
Thus, GCF of Fractions is 1/617204.Finally, GCF of Fractions for 7574/469, 8791/9212 is 1/617204.