GCF of 4526/610, 1395/1705
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4526/610, 1395/1705 i.e 31/208010 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4526/610, 1395/1705.
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 4526/610,1395/1705?
Given fractions are 4526/610,1395/1705
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 4526/610,1395/1705, numerators are 4526,1395
Denominators are 610,1705
The GCF of 4526,1395 is 31 .
LCM of 610,1705 is 208010.
The greatest common factor of 4526/610,1395/1705 = [GCF of 4526,1395]/[LCM of 610,1705]= 31/208010
Therefore, the GCF of 4526/610,1395/1705 is 31/208010.
To find the highest common factor of 4526,1395, we have to find the factors of both numbers and list the highest common factor.
The factors of 4526 are 1, 2, 31, 62, 73, 146, 2263, 4526
The factors of 1395 are 1, 3, 5, 9, 15, 31, 45, 93, 155, 279, 465, 1395
The HCF of 4526,1395 is 31.
Lets's calculate GCF of 4526,1395
| 31 | 4526, 1395 |
| 146, 45 |
∴ So the GCF of the given numbers is 31 = 31
Greatest Common Factor of 4526,1395 By Matching Biggest Common Factor Method
Now, list down the factors of 4526
:1,2,31,62,73,146,2263,4526
Now, list down the factors of 1395
:1,3,5,9,15,31,45,93,155,279,465,1395
Greatest Common Factor
We found the factors 4526,1395 . The biggest common factor number is the GCF number.
So the greatest common factor 4526,1395 is 31.
Lets's calculate LCM of 610,1705
| 5 | 610, 1705 |
| 122, 341 |
∴ So the LCM of the given numbers is 5 x 122 x 341 = 208010
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 31/208010
Therefore, the GCF of Fractions 4526/610,1395/1705 is 31/208010
Least Common Multiple of 610,1705 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 610,1705 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(610,1705) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(610,1705) x common factors =5 x 1 = 5
LCM(610,1705) = ( 610 × 1705 ) / 5
LCM(610,1705) = 1040050 / 5
LCM(610,1705) = 208010
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FAQs on GCF of Fractions of 4526/610, 1395/1705
1. What is the HCF of 4526,1395?
The HCF of 4526,1395 is 31
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 4526/610, 1395/1705?
Answer: GCF of Numerators as per given numbers 4526/610, 1395/1705 is
GCF of Numerators i.e. for 4526,1395 is 31
LCM of denominators i.e. for 610,1705 is 208010.
Thus, GCF of Fractions is 31/208010.Finally, GCF of Fractions for 4526/610, 1395/1705 is 31/208010.