GCF of 75/549, 9221/8822
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 75/549, 9221/8822 i.e 1/4843278 easily. The following is the detailed procedure to determine the greatest common factor of fractions 75/549, 9221/8822.
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 75/549,9221/8822?
Given fractions are 75/549,9221/8822
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 75/549,9221/8822, numerators are 75,9221
Denominators are 549,8822
The GCF of 75,9221 is 1 .
LCM of 549,8822 is 4843278.
The greatest common factor of 75/549,9221/8822 = [GCF of 75,9221]/[LCM of 549,8822]= 1/4843278
Therefore, the GCF of 75/549,9221/8822 is 1/4843278.
To find the highest common factor of 75,9221, we have to find the factors of both numbers and list the highest common factor.
The factors of 75 are 1, 3, 5, 15, 25, 75
The factors of 9221 are 1, 9221
The HCF of 75,9221 is 1.
Lets's calculate GCF of 75,9221
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 75,9221 By Matching Biggest Common Factor Method
Now, list down the factors of 75
:1,3,5,15,25,75
Now, list down the factors of 9221
:1,9221
Greatest Common Factor
We found the factors 75,9221 . The biggest common factor number is the GCF number.
So the greatest common factor 75,9221 is 1.
Lets's calculate LCM of 549,8822
Given numbers has no common factors except 1. So, there LCM is their product i.e 4843278
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4843278
Therefore, the GCF of Fractions 75/549,9221/8822 is 1/4843278
Least Common Multiple of 549,8822 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 549,8822 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(549,8822) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(549,8822) x common factors =1 x 1 = 1
LCM(549,8822) = ( 549 × 8822 ) / 1
LCM(549,8822) = 4843278 / 1
LCM(549,8822) = 4843278
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FAQs on GCF of Fractions of 75/549, 9221/8822
1. What is the HCF of 75,9221?
The HCF of 75,9221 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 75/549, 9221/8822?
Answer: GCF of Numerators as per given numbers 75/549, 9221/8822 is
GCF of Numerators i.e. for 75,9221 is 1
LCM of denominators i.e. for 549,8822 is 4843278.
Thus, GCF of Fractions is 1/4843278.Finally, GCF of Fractions for 75/549, 9221/8822 is 1/4843278.