GCF of 1182/165, 7255/3217
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1182/165, 7255/3217 i.e 1/530805 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1182/165, 7255/3217.
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 1182/165,7255/3217?
Given fractions are 1182/165,7255/3217
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 1182/165,7255/3217, numerators are 1182,7255
Denominators are 165,3217
The GCF of 1182,7255 is 1 .
LCM of 165,3217 is 530805.
The greatest common factor of 1182/165,7255/3217 = [GCF of 1182,7255]/[LCM of 165,3217]= 1/530805
Therefore, the GCF of 1182/165,7255/3217 is 1/530805.
To find the highest common factor of 1182,7255, we have to find the factors of both numbers and list the highest common factor.
The factors of 1182 are 1, 2, 3, 6, 197, 394, 591, 1182
The factors of 7255 are 1, 5, 1451, 7255
The HCF of 1182,7255 is 1.
Lets's calculate GCF of 1182,7255
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1182,7255 By Matching Biggest Common Factor Method
Now, list down the factors of 1182
:1,2,3,6,197,394,591,1182
Now, list down the factors of 7255
:1,5,1451,7255
Greatest Common Factor
We found the factors 1182,7255 . The biggest common factor number is the GCF number.
So the greatest common factor 1182,7255 is 1.
Lets's calculate LCM of 165,3217
Given numbers has no common factors except 1. So, there LCM is their product i.e 530805
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/530805
Therefore, the GCF of Fractions 1182/165,7255/3217 is 1/530805
Least Common Multiple of 165,3217 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 165,3217 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(165,3217) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(165,3217) x common factors =1 x 1 = 1
LCM(165,3217) = ( 165 × 3217 ) / 1
LCM(165,3217) = 530805 / 1
LCM(165,3217) = 530805
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FAQs on GCF of Fractions of 1182/165, 7255/3217
1. What is the HCF of 1182,7255?
The HCF of 1182,7255 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 1182/165, 7255/3217?
Answer: GCF of Numerators as per given numbers 1182/165, 7255/3217 is
GCF of Numerators i.e. for 1182,7255 is 1
LCM of denominators i.e. for 165,3217 is 530805.
Thus, GCF of Fractions is 1/530805.Finally, GCF of Fractions for 1182/165, 7255/3217 is 1/530805.