GCF of 907/722, 547/987
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 907/722, 547/987 i.e 1/712614 easily. The following is the detailed procedure to determine the greatest common factor of fractions 907/722, 547/987.
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 907/722,547/987?
Given fractions are 907/722,547/987
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 907/722,547/987, numerators are 907,547
Denominators are 722,987
The GCF of 907,547 is 1 .
LCM of 722,987 is 712614.
The greatest common factor of 907/722,547/987 = [GCF of 907,547]/[LCM of 722,987]= 1/712614
Therefore, the GCF of 907/722,547/987 is 1/712614.
To find the highest common factor of 907,547, 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 547 are 1, 547
The HCF of 907,547 is 1.
Lets's calculate GCF of 907,547
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 907,547 By Matching Biggest Common Factor Method
Now, list down the factors of 907
:1,907
Now, list down the factors of 547
:1,547
Greatest Common Factor
We found the factors 907,547 . The biggest common factor number is the GCF number.
So the greatest common factor 907,547 is 1.
Lets's calculate LCM of 722,987
Given numbers has no common factors except 1. So, there LCM is their product i.e 712614
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/712614
Therefore, the GCF of Fractions 907/722,547/987 is 1/712614
Least Common Multiple of 722,987 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 722,987 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(722,987) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(722,987) x common factors =1 x 1 = 1
LCM(722,987) = ( 722 × 987 ) / 1
LCM(722,987) = 712614 / 1
LCM(722,987) = 712614
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FAQs on GCF of Fractions of 907/722, 547/987
1. What is the HCF of 907,547?
The HCF of 907,547 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 907/722, 547/987?
Answer: GCF of Numerators as per given numbers 907/722, 547/987 is
GCF of Numerators i.e. for 907,547 is 1
LCM of denominators i.e. for 722,987 is 712614.
Thus, GCF of Fractions is 1/712614.Finally, GCF of Fractions for 907/722, 547/987 is 1/712614.