GCF of 769/97, 313/1408
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 769/97, 313/1408 i.e 1/136576 easily. The following is the detailed procedure to determine the greatest common factor of fractions 769/97, 313/1408.
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 769/97,313/1408?
Given fractions are 769/97,313/1408
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 769/97,313/1408, numerators are 769,313
Denominators are 97,1408
The GCF of 769,313 is 1 .
LCM of 97,1408 is 136576.
The greatest common factor of 769/97,313/1408 = [GCF of 769,313]/[LCM of 97,1408]= 1/136576
Therefore, the GCF of 769/97,313/1408 is 1/136576.
To find the highest common factor of 769,313, we have to find the factors of both numbers and list the highest common factor.
The factors of 769 are 1, 769
The factors of 313 are 1, 313
The HCF of 769,313 is 1.
Lets's calculate GCF of 769,313
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 769,313 By Matching Biggest Common Factor Method
Now, list down the factors of 769
:1,769
Now, list down the factors of 313
:1,313
Greatest Common Factor
We found the factors 769,313 . The biggest common factor number is the GCF number.
So the greatest common factor 769,313 is 1.
Lets's calculate LCM of 97,1408
Given numbers has no common factors except 1. So, there LCM is their product i.e 136576
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/136576
Therefore, the GCF of Fractions 769/97,313/1408 is 1/136576
Least Common Multiple of 97,1408 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 97,1408 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(97,1408) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(97,1408) x common factors =1 x 1 = 1
LCM(97,1408) = ( 97 × 1408 ) / 1
LCM(97,1408) = 136576 / 1
LCM(97,1408) = 136576
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FAQs on GCF of Fractions of 769/97, 313/1408
1. What is the HCF of 769,313?
The HCF of 769,313 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 769/97, 313/1408?
Answer: GCF of Numerators as per given numbers 769/97, 313/1408 is
GCF of Numerators i.e. for 769,313 is 1
LCM of denominators i.e. for 97,1408 is 136576.
Thus, GCF of Fractions is 1/136576.Finally, GCF of Fractions for 769/97, 313/1408 is 1/136576.