GCF of 5307/572, 8495/3448
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5307/572, 8495/3448 i.e 1/493064 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5307/572, 8495/3448.
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 5307/572,8495/3448?
Given fractions are 5307/572,8495/3448
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 5307/572,8495/3448, numerators are 5307,8495
Denominators are 572,3448
The GCF of 5307,8495 is 1 .
LCM of 572,3448 is 493064.
The greatest common factor of 5307/572,8495/3448 = [GCF of 5307,8495]/[LCM of 572,3448]= 1/493064
Therefore, the GCF of 5307/572,8495/3448 is 1/493064.
To find the highest common factor of 5307,8495, we have to find the factors of both numbers and list the highest common factor.
The factors of 5307 are 1, 3, 29, 61, 87, 183, 1769, 5307
The factors of 8495 are 1, 5, 1699, 8495
The HCF of 5307,8495 is 1.
Lets's calculate GCF of 5307,8495
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5307,8495 By Matching Biggest Common Factor Method
Now, list down the factors of 5307
:1,3,29,61,87,183,1769,5307
Now, list down the factors of 8495
:1,5,1699,8495
Greatest Common Factor
We found the factors 5307,8495 . The biggest common factor number is the GCF number.
So the greatest common factor 5307,8495 is 1.
Lets's calculate LCM of 572,3448
| 2 | 572, 3448 |
| 2 | 286, 1724 |
| 143, 862 |
∴ So the LCM of the given numbers is 2 x 2 x 143 x 862 = 493064
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/493064
Therefore, the GCF of Fractions 5307/572,8495/3448 is 1/493064
Least Common Multiple of 572,3448 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 572,3448 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(572,3448) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(572,3448) x common factors =4 x 1 = 4
LCM(572,3448) = ( 572 × 3448 ) / 4
LCM(572,3448) = 1972256 / 4
LCM(572,3448) = 493064
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FAQs on GCF of Fractions of 5307/572, 8495/3448
1. What is the HCF of 5307,8495?
The HCF of 5307,8495 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 5307/572, 8495/3448?
Answer: GCF of Numerators as per given numbers 5307/572, 8495/3448 is
GCF of Numerators i.e. for 5307,8495 is 1
LCM of denominators i.e. for 572,3448 is 493064.
Thus, GCF of Fractions is 1/493064.Finally, GCF of Fractions for 5307/572, 8495/3448 is 1/493064.