GCF of 907/67, 812/867
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 907/67, 812/867 i.e 1/58089 easily. The following is the detailed procedure to determine the greatest common factor of fractions 907/67, 812/867.
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 907/67,812/867?
Given fractions are 907/67,812/867
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 907/67,812/867, numerators are 907,812
Denominators are 67,867
The GCF of 907,812 is 1 .
LCM of 67,867 is 58089.
The greatest common factor of 907/67,812/867 = [GCF of 907,812]/[LCM of 67,867]= 1/58089
Therefore, the GCF of 907/67,812/867 is 1/58089.
To find the highest common factor of 907,812, 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 812 are 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
The HCF of 907,812 is 1.
Lets's calculate GCF of 907,812
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 907,812 By Matching Biggest Common Factor Method
Now, list down the factors of 907
:1,907
Now, list down the factors of 812
:1,2,4,7,14,28,29,58,116,203,406,812
Greatest Common Factor
We found the factors 907,812 . The biggest common factor number is the GCF number.
So the greatest common factor 907,812 is 1.
Lets's calculate LCM of 67,867
Given numbers has no common factors except 1. So, there LCM is their product i.e 58089
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/58089
Therefore, the GCF of Fractions 907/67,812/867 is 1/58089
Least Common Multiple of 67,867 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 67,867 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,867) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(67,867) x common factors =1 x 1 = 1
LCM(67,867) = ( 67 × 867 ) / 1
LCM(67,867) = 58089 / 1
LCM(67,867) = 58089
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FAQs on GCF of Fractions of 907/67, 812/867
1. What is the HCF of 907,812?
The HCF of 907,812 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 907/67, 812/867?
Answer: GCF of Numerators as per given numbers 907/67, 812/867 is
GCF of Numerators i.e. for 907,812 is 1
LCM of denominators i.e. for 67,867 is 58089.
Thus, GCF of Fractions is 1/58089.Finally, GCF of Fractions for 907/67, 812/867 is 1/58089.