GCF of 4967/755, 9550/5601
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4967/755, 9550/5601 i.e 1/4228755 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4967/755, 9550/5601.
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 4967/755,9550/5601?
Given fractions are 4967/755,9550/5601
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 4967/755,9550/5601, numerators are 4967,9550
Denominators are 755,5601
The GCF of 4967,9550 is 1 .
LCM of 755,5601 is 4228755.
The greatest common factor of 4967/755,9550/5601 = [GCF of 4967,9550]/[LCM of 755,5601]= 1/4228755
Therefore, the GCF of 4967/755,9550/5601 is 1/4228755.
To find the highest common factor of 4967,9550, we have to find the factors of both numbers and list the highest common factor.
The factors of 4967 are 1, 4967
The factors of 9550 are 1, 2, 5, 10, 25, 50, 191, 382, 955, 1910, 4775, 9550
The HCF of 4967,9550 is 1.
Lets's calculate GCF of 4967,9550
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4967,9550 By Matching Biggest Common Factor Method
Now, list down the factors of 4967
:1,4967
Now, list down the factors of 9550
:1,2,5,10,25,50,191,382,955,1910,4775,9550
Greatest Common Factor
We found the factors 4967,9550 . The biggest common factor number is the GCF number.
So the greatest common factor 4967,9550 is 1.
Lets's calculate LCM of 755,5601
Given numbers has no common factors except 1. So, there LCM is their product i.e 4228755
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4228755
Therefore, the GCF of Fractions 4967/755,9550/5601 is 1/4228755
Least Common Multiple of 755,5601 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 755,5601 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(755,5601) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(755,5601) x common factors =1 x 1 = 1
LCM(755,5601) = ( 755 × 5601 ) / 1
LCM(755,5601) = 4228755 / 1
LCM(755,5601) = 4228755
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FAQs on GCF of Fractions of 4967/755, 9550/5601
1. What is the HCF of 4967,9550?
The HCF of 4967,9550 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 4967/755, 9550/5601?
Answer: GCF of Numerators as per given numbers 4967/755, 9550/5601 is
GCF of Numerators i.e. for 4967,9550 is 1
LCM of denominators i.e. for 755,5601 is 4228755.
Thus, GCF of Fractions is 1/4228755.Finally, GCF of Fractions for 4967/755, 9550/5601 is 1/4228755.