GCF of 7424/475, 9067/222
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7424/475, 9067/222 i.e 1/105450 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7424/475, 9067/222.
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 7424/475,9067/222?
Given fractions are 7424/475,9067/222
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 7424/475,9067/222, numerators are 7424,9067
Denominators are 475,222
The GCF of 7424,9067 is 1 .
LCM of 475,222 is 105450.
The greatest common factor of 7424/475,9067/222 = [GCF of 7424,9067]/[LCM of 475,222]= 1/105450
Therefore, the GCF of 7424/475,9067/222 is 1/105450.
To find the highest common factor of 7424,9067, we have to find the factors of both numbers and list the highest common factor.
The factors of 7424 are 1, 2, 4, 8, 16, 29, 32, 58, 64, 116, 128, 232, 256, 464, 928, 1856, 3712, 7424
The factors of 9067 are 1, 9067
The HCF of 7424,9067 is 1.
Lets's calculate GCF of 7424,9067
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7424,9067 By Matching Biggest Common Factor Method
Now, list down the factors of 7424
:1,2,4,8,16,29,32,58,64,116,128,232,256,464,928,1856,3712,7424
Now, list down the factors of 9067
:1,9067
Greatest Common Factor
We found the factors 7424,9067 . The biggest common factor number is the GCF number.
So the greatest common factor 7424,9067 is 1.
Lets's calculate LCM of 475,222
Given numbers has no common factors except 1. So, there LCM is their product i.e 105450
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/105450
Therefore, the GCF of Fractions 7424/475,9067/222 is 1/105450
Least Common Multiple of 475,222 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 475,222 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(475,222) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(475,222) x common factors =1 x 1 = 1
LCM(475,222) = ( 475 × 222 ) / 1
LCM(475,222) = 105450 / 1
LCM(475,222) = 105450
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FAQs on GCF of Fractions of 7424/475, 9067/222
1. What is the HCF of 7424,9067?
The HCF of 7424,9067 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 7424/475, 9067/222?
Answer: GCF of Numerators as per given numbers 7424/475, 9067/222 is
GCF of Numerators i.e. for 7424,9067 is 1
LCM of denominators i.e. for 475,222 is 105450.
Thus, GCF of Fractions is 1/105450.Finally, GCF of Fractions for 7424/475, 9067/222 is 1/105450.