GCF of 773/69, 358/3454
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 773/69, 358/3454 i.e 1/238326 easily. The following is the detailed procedure to determine the greatest common factor of fractions 773/69, 358/3454.
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 773/69,358/3454?
Given fractions are 773/69,358/3454
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 773/69,358/3454, numerators are 773,358
Denominators are 69,3454
The GCF of 773,358 is 1 .
LCM of 69,3454 is 238326.
The greatest common factor of 773/69,358/3454 = [GCF of 773,358]/[LCM of 69,3454]= 1/238326
Therefore, the GCF of 773/69,358/3454 is 1/238326.
To find the highest common factor of 773,358, we have to find the factors of both numbers and list the highest common factor.
The factors of 773 are 1, 773
The factors of 358 are 1, 2, 179, 358
The HCF of 773,358 is 1.
Lets's calculate GCF of 773,358
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 773,358 By Matching Biggest Common Factor Method
Now, list down the factors of 773
:1,773
Now, list down the factors of 358
:1,2,179,358
Greatest Common Factor
We found the factors 773,358 . The biggest common factor number is the GCF number.
So the greatest common factor 773,358 is 1.
Lets's calculate LCM of 69,3454
Given numbers has no common factors except 1. So, there LCM is their product i.e 238326
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/238326
Therefore, the GCF of Fractions 773/69,358/3454 is 1/238326
Least Common Multiple of 69,3454 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 69,3454 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(69,3454) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(69,3454) x common factors =1 x 1 = 1
LCM(69,3454) = ( 69 × 3454 ) / 1
LCM(69,3454) = 238326 / 1
LCM(69,3454) = 238326
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FAQs on GCF of Fractions of 773/69, 358/3454
1. What is the HCF of 773,358?
The HCF of 773,358 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 773/69, 358/3454?
Answer: GCF of Numerators as per given numbers 773/69, 358/3454 is
GCF of Numerators i.e. for 773,358 is 1
LCM of denominators i.e. for 69,3454 is 238326.
Thus, GCF of Fractions is 1/238326.Finally, GCF of Fractions for 773/69, 358/3454 is 1/238326.