GCF of 7279/931, 1928/354
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7279/931, 1928/354 i.e 1/329574 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7279/931, 1928/354.
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 7279/931,1928/354?
Given fractions are 7279/931,1928/354
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 7279/931,1928/354, numerators are 7279,1928
Denominators are 931,354
The GCF of 7279,1928 is 1 .
LCM of 931,354 is 329574.
The greatest common factor of 7279/931,1928/354 = [GCF of 7279,1928]/[LCM of 931,354]= 1/329574
Therefore, the GCF of 7279/931,1928/354 is 1/329574.
To find the highest common factor of 7279,1928, we have to find the factors of both numbers and list the highest common factor.
The factors of 7279 are 1, 29, 251, 7279
The factors of 1928 are 1, 2, 4, 8, 241, 482, 964, 1928
The HCF of 7279,1928 is 1.
Lets's calculate GCF of 7279,1928
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7279,1928 By Matching Biggest Common Factor Method
Now, list down the factors of 7279
:1,29,251,7279
Now, list down the factors of 1928
:1,2,4,8,241,482,964,1928
Greatest Common Factor
We found the factors 7279,1928 . The biggest common factor number is the GCF number.
So the greatest common factor 7279,1928 is 1.
Lets's calculate LCM of 931,354
Given numbers has no common factors except 1. So, there LCM is their product i.e 329574
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/329574
Therefore, the GCF of Fractions 7279/931,1928/354 is 1/329574
Least Common Multiple of 931,354 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 931,354 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(931,354) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(931,354) x common factors =1 x 1 = 1
LCM(931,354) = ( 931 × 354 ) / 1
LCM(931,354) = 329574 / 1
LCM(931,354) = 329574
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FAQs on GCF of Fractions of 7279/931, 1928/354
1. What is the HCF of 7279,1928?
The HCF of 7279,1928 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 7279/931, 1928/354?
Answer: GCF of Numerators as per given numbers 7279/931, 1928/354 is
GCF of Numerators i.e. for 7279,1928 is 1
LCM of denominators i.e. for 931,354 is 329574.
Thus, GCF of Fractions is 1/329574.Finally, GCF of Fractions for 7279/931, 1928/354 is 1/329574.