GCF of 5675/355, 6924/238
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5675/355, 6924/238 i.e 1/84490 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5675/355, 6924/238.
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 5675/355,6924/238?
Given fractions are 5675/355,6924/238
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 5675/355,6924/238, numerators are 5675,6924
Denominators are 355,238
The GCF of 5675,6924 is 1 .
LCM of 355,238 is 84490.
The greatest common factor of 5675/355,6924/238 = [GCF of 5675,6924]/[LCM of 355,238]= 1/84490
Therefore, the GCF of 5675/355,6924/238 is 1/84490.
To find the highest common factor of 5675,6924, we have to find the factors of both numbers and list the highest common factor.
The factors of 5675 are 1, 5, 25, 227, 1135, 5675
The factors of 6924 are 1, 2, 3, 4, 6, 12, 577, 1154, 1731, 2308, 3462, 6924
The HCF of 5675,6924 is 1.
Lets's calculate GCF of 5675,6924
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5675,6924 By Matching Biggest Common Factor Method
Now, list down the factors of 5675
:1,5,25,227,1135,5675
Now, list down the factors of 6924
:1,2,3,4,6,12,577,1154,1731,2308,3462,6924
Greatest Common Factor
We found the factors 5675,6924 . The biggest common factor number is the GCF number.
So the greatest common factor 5675,6924 is 1.
Lets's calculate LCM of 355,238
Given numbers has no common factors except 1. So, there LCM is their product i.e 84490
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/84490
Therefore, the GCF of Fractions 5675/355,6924/238 is 1/84490
Least Common Multiple of 355,238 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 355,238 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(355,238) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(355,238) x common factors =1 x 1 = 1
LCM(355,238) = ( 355 × 238 ) / 1
LCM(355,238) = 84490 / 1
LCM(355,238) = 84490
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FAQs on GCF of Fractions of 5675/355, 6924/238
1. What is the HCF of 5675,6924?
The HCF of 5675,6924 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 5675/355, 6924/238?
Answer: GCF of Numerators as per given numbers 5675/355, 6924/238 is
GCF of Numerators i.e. for 5675,6924 is 1
LCM of denominators i.e. for 355,238 is 84490.
Thus, GCF of Fractions is 1/84490.Finally, GCF of Fractions for 5675/355, 6924/238 is 1/84490.