GCF of 2714/549, 3961/525
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2714/549, 3961/525 i.e 1/96075 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2714/549, 3961/525.
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 2714/549,3961/525?
Given fractions are 2714/549,3961/525
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 2714/549,3961/525, numerators are 2714,3961
Denominators are 549,525
The GCF of 2714,3961 is 1 .
LCM of 549,525 is 96075.
The greatest common factor of 2714/549,3961/525 = [GCF of 2714,3961]/[LCM of 549,525]= 1/96075
Therefore, the GCF of 2714/549,3961/525 is 1/96075.
To find the highest common factor of 2714,3961, we have to find the factors of both numbers and list the highest common factor.
The factors of 2714 are 1, 2, 23, 46, 59, 118, 1357, 2714
The factors of 3961 are 1, 17, 233, 3961
The HCF of 2714,3961 is 1.
Lets's calculate GCF of 2714,3961
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2714,3961 By Matching Biggest Common Factor Method
Now, list down the factors of 2714
:1,2,23,46,59,118,1357,2714
Now, list down the factors of 3961
:1,17,233,3961
Greatest Common Factor
We found the factors 2714,3961 . The biggest common factor number is the GCF number.
So the greatest common factor 2714,3961 is 1.
Lets's calculate LCM of 549,525
| 3 | 549, 525 |
| 183, 175 |
∴ So the LCM of the given numbers is 3 x 183 x 175 = 96075
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/96075
Therefore, the GCF of Fractions 2714/549,3961/525 is 1/96075
Least Common Multiple of 549,525 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 549,525 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(549,525) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(549,525) x common factors =3 x 1 = 3
LCM(549,525) = ( 549 × 525 ) / 3
LCM(549,525) = 288225 / 3
LCM(549,525) = 96075
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FAQs on GCF of Fractions of 2714/549, 3961/525
1. What is the HCF of 2714,3961?
The HCF of 2714,3961 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 2714/549, 3961/525?
Answer: GCF of Numerators as per given numbers 2714/549, 3961/525 is
GCF of Numerators i.e. for 2714,3961 is 1
LCM of denominators i.e. for 549,525 is 96075.
Thus, GCF of Fractions is 1/96075.Finally, GCF of Fractions for 2714/549, 3961/525 is 1/96075.