GCF of 703/790, 7117/673
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 703/790, 7117/673 i.e 1/531670 easily. The following is the detailed procedure to determine the greatest common factor of fractions 703/790, 7117/673.
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 703/790,7117/673?
Given fractions are 703/790,7117/673
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 703/790,7117/673, numerators are 703,7117
Denominators are 790,673
The GCF of 703,7117 is 1 .
LCM of 790,673 is 531670.
The greatest common factor of 703/790,7117/673 = [GCF of 703,7117]/[LCM of 790,673]= 1/531670
Therefore, the GCF of 703/790,7117/673 is 1/531670.
To find the highest common factor of 703,7117, we have to find the factors of both numbers and list the highest common factor.
The factors of 703 are 1, 19, 37, 703
The factors of 7117 are 1, 11, 647, 7117
The HCF of 703,7117 is 1.
Lets's calculate GCF of 703,7117
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 703,7117 By Matching Biggest Common Factor Method
Now, list down the factors of 703
:1,19,37,703
Now, list down the factors of 7117
:1,11,647,7117
Greatest Common Factor
We found the factors 703,7117 . The biggest common factor number is the GCF number.
So the greatest common factor 703,7117 is 1.
Lets's calculate LCM of 790,673
Given numbers has no common factors except 1. So, there LCM is their product i.e 531670
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/531670
Therefore, the GCF of Fractions 703/790,7117/673 is 1/531670
Least Common Multiple of 790,673 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 790,673 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(790,673) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(790,673) x common factors =1 x 1 = 1
LCM(790,673) = ( 790 × 673 ) / 1
LCM(790,673) = 531670 / 1
LCM(790,673) = 531670
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FAQs on GCF of Fractions of 703/790, 7117/673
1. What is the HCF of 703,7117?
The HCF of 703,7117 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 703/790, 7117/673?
Answer: GCF of Numerators as per given numbers 703/790, 7117/673 is
GCF of Numerators i.e. for 703,7117 is 1
LCM of denominators i.e. for 790,673 is 531670.
Thus, GCF of Fractions is 1/531670.Finally, GCF of Fractions for 703/790, 7117/673 is 1/531670.