GCF of 7207/974, 1424/3083
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7207/974, 1424/3083 i.e 1/3002842 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7207/974, 1424/3083.
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 7207/974,1424/3083?
Given fractions are 7207/974,1424/3083
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 7207/974,1424/3083, numerators are 7207,1424
Denominators are 974,3083
The GCF of 7207,1424 is 1 .
LCM of 974,3083 is 3002842.
The greatest common factor of 7207/974,1424/3083 = [GCF of 7207,1424]/[LCM of 974,3083]= 1/3002842
Therefore, the GCF of 7207/974,1424/3083 is 1/3002842.
To find the highest common factor of 7207,1424, we have to find the factors of both numbers and list the highest common factor.
The factors of 7207 are 1, 7207
The factors of 1424 are 1, 2, 4, 8, 16, 89, 178, 356, 712, 1424
The HCF of 7207,1424 is 1.
Lets's calculate GCF of 7207,1424
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7207,1424 By Matching Biggest Common Factor Method
Now, list down the factors of 7207
:1,7207
Now, list down the factors of 1424
:1,2,4,8,16,89,178,356,712,1424
Greatest Common Factor
We found the factors 7207,1424 . The biggest common factor number is the GCF number.
So the greatest common factor 7207,1424 is 1.
Lets's calculate LCM of 974,3083
Given numbers has no common factors except 1. So, there LCM is their product i.e 3002842
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3002842
Therefore, the GCF of Fractions 7207/974,1424/3083 is 1/3002842
Least Common Multiple of 974,3083 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 974,3083 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(974,3083) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(974,3083) x common factors =1 x 1 = 1
LCM(974,3083) = ( 974 × 3083 ) / 1
LCM(974,3083) = 3002842 / 1
LCM(974,3083) = 3002842
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 7207/974, 1424/3083
1. What is the HCF of 7207,1424?
The HCF of 7207,1424 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 7207/974, 1424/3083?
Answer: GCF of Numerators as per given numbers 7207/974, 1424/3083 is
GCF of Numerators i.e. for 7207,1424 is 1
LCM of denominators i.e. for 974,3083 is 3002842.
Thus, GCF of Fractions is 1/3002842.Finally, GCF of Fractions for 7207/974, 1424/3083 is 1/3002842.