GCF of 907/20, 456/721
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 907/20, 456/721 i.e 1/14420 easily. The following is the detailed procedure to determine the greatest common factor of fractions 907/20, 456/721.
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 907/20,456/721?
Given fractions are 907/20,456/721
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 907/20,456/721, numerators are 907,456
Denominators are 20,721
The GCF of 907,456 is 1 .
LCM of 20,721 is 14420.
The greatest common factor of 907/20,456/721 = [GCF of 907,456]/[LCM of 20,721]= 1/14420
Therefore, the GCF of 907/20,456/721 is 1/14420.
To find the highest common factor of 907,456, we have to find the factors of both numbers and list the highest common factor.
The factors of 907 are 1, 907
The factors of 456 are 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
The HCF of 907,456 is 1.
Lets's calculate GCF of 907,456
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 907,456 By Matching Biggest Common Factor Method
Now, list down the factors of 907
:1,907
Now, list down the factors of 456
:1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456
Greatest Common Factor
We found the factors 907,456 . The biggest common factor number is the GCF number.
So the greatest common factor 907,456 is 1.
Lets's calculate LCM of 20,721
Given numbers has no common factors except 1. So, there LCM is their product i.e 14420
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14420
Therefore, the GCF of Fractions 907/20,456/721 is 1/14420
Least Common Multiple of 20,721 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 20,721 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,721) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(20,721) x common factors =1 x 1 = 1
LCM(20,721) = ( 20 × 721 ) / 1
LCM(20,721) = 14420 / 1
LCM(20,721) = 14420
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FAQs on GCF of Fractions of 907/20, 456/721
1. What is the HCF of 907,456?
The HCF of 907,456 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 907/20, 456/721?
Answer: GCF of Numerators as per given numbers 907/20, 456/721 is
GCF of Numerators i.e. for 907,456 is 1
LCM of denominators i.e. for 20,721 is 14420.
Thus, GCF of Fractions is 1/14420.Finally, GCF of Fractions for 907/20, 456/721 is 1/14420.