GCF of 955/62, 553/732
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 955/62, 553/732 i.e 1/22692 easily. The following is the detailed procedure to determine the greatest common factor of fractions 955/62, 553/732.
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 955/62,553/732?
Given fractions are 955/62,553/732
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 955/62,553/732, numerators are 955,553
Denominators are 62,732
The GCF of 955,553 is 1 .
LCM of 62,732 is 22692.
The greatest common factor of 955/62,553/732 = [GCF of 955,553]/[LCM of 62,732]= 1/22692
Therefore, the GCF of 955/62,553/732 is 1/22692.
To find the highest common factor of 955,553, we have to find the factors of both numbers and list the highest common factor.
The factors of 955 are 1, 5, 191, 955
The factors of 553 are 1, 7, 79, 553
The HCF of 955,553 is 1.
Lets's calculate GCF of 955,553
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 955,553 By Matching Biggest Common Factor Method
Now, list down the factors of 955
:1,5,191,955
Now, list down the factors of 553
:1,7,79,553
Greatest Common Factor
We found the factors 955,553 . The biggest common factor number is the GCF number.
So the greatest common factor 955,553 is 1.
Lets's calculate LCM of 62,732
| 2 | 62, 732 |
| 31, 366 |
∴ So the LCM of the given numbers is 2 x 31 x 366 = 22692
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22692
Therefore, the GCF of Fractions 955/62,553/732 is 1/22692
Least Common Multiple of 62,732 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 62,732 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,732) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(62,732) x common factors =2 x 1 = 2
LCM(62,732) = ( 62 × 732 ) / 2
LCM(62,732) = 45384 / 2
LCM(62,732) = 22692
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FAQs on GCF of Fractions of 955/62, 553/732
1. What is the HCF of 955,553?
The HCF of 955,553 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 955/62, 553/732?
Answer: GCF of Numerators as per given numbers 955/62, 553/732 is
GCF of Numerators i.e. for 955,553 is 1
LCM of denominators i.e. for 62,732 is 22692.
Thus, GCF of Fractions is 1/22692.Finally, GCF of Fractions for 955/62, 553/732 is 1/22692.