GCF of 7121/945, 7730/724
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7121/945, 7730/724 i.e 1/684180 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7121/945, 7730/724.
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 7121/945,7730/724?
Given fractions are 7121/945,7730/724
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 7121/945,7730/724, numerators are 7121,7730
Denominators are 945,724
The GCF of 7121,7730 is 1 .
LCM of 945,724 is 684180.
The greatest common factor of 7121/945,7730/724 = [GCF of 7121,7730]/[LCM of 945,724]= 1/684180
Therefore, the GCF of 7121/945,7730/724 is 1/684180.
To find the highest common factor of 7121,7730, we have to find the factors of both numbers and list the highest common factor.
The factors of 7121 are 1, 7121
The factors of 7730 are 1, 2, 5, 10, 773, 1546, 3865, 7730
The HCF of 7121,7730 is 1.
Lets's calculate GCF of 7121,7730
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7121,7730 By Matching Biggest Common Factor Method
Now, list down the factors of 7121
:1,7121
Now, list down the factors of 7730
:1,2,5,10,773,1546,3865,7730
Greatest Common Factor
We found the factors 7121,7730 . The biggest common factor number is the GCF number.
So the greatest common factor 7121,7730 is 1.
Lets's calculate LCM of 945,724
Given numbers has no common factors except 1. So, there LCM is their product i.e 684180
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/684180
Therefore, the GCF of Fractions 7121/945,7730/724 is 1/684180
Least Common Multiple of 945,724 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 945,724 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(945,724) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(945,724) x common factors =1 x 1 = 1
LCM(945,724) = ( 945 × 724 ) / 1
LCM(945,724) = 684180 / 1
LCM(945,724) = 684180
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FAQs on GCF of Fractions of 7121/945, 7730/724
1. What is the HCF of 7121,7730?
The HCF of 7121,7730 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 7121/945, 7730/724?
Answer: GCF of Numerators as per given numbers 7121/945, 7730/724 is
GCF of Numerators i.e. for 7121,7730 is 1
LCM of denominators i.e. for 945,724 is 684180.
Thus, GCF of Fractions is 1/684180.Finally, GCF of Fractions for 7121/945, 7730/724 is 1/684180.