GCF of 1829/975, 8757/1560
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1829/975, 8757/1560 i.e 1/7800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1829/975, 8757/1560.
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 1829/975,8757/1560?
Given fractions are 1829/975,8757/1560
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 1829/975,8757/1560, numerators are 1829,8757
Denominators are 975,1560
The GCF of 1829,8757 is 1 .
LCM of 975,1560 is 7800.
The greatest common factor of 1829/975,8757/1560 = [GCF of 1829,8757]/[LCM of 975,1560]= 1/7800
Therefore, the GCF of 1829/975,8757/1560 is 1/7800.
To find the highest common factor of 1829,8757, we have to find the factors of both numbers and list the highest common factor.
The factors of 1829 are 1, 31, 59, 1829
The factors of 8757 are 1, 3, 7, 9, 21, 63, 139, 417, 973, 1251, 2919, 8757
The HCF of 1829,8757 is 1.
Lets's calculate GCF of 1829,8757
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1829,8757 By Matching Biggest Common Factor Method
Now, list down the factors of 1829
:1,31,59,1829
Now, list down the factors of 8757
:1,3,7,9,21,63,139,417,973,1251,2919,8757
Greatest Common Factor
We found the factors 1829,8757 . The biggest common factor number is the GCF number.
So the greatest common factor 1829,8757 is 1.
Lets's calculate LCM of 975,1560
| 3 | 975, 1560 |
| 5 | 325, 520 |
| 13 | 65, 104 |
| 5, 8 |
∴ So the LCM of the given numbers is 3 x 5 x 13 x 5 x 8 = 7800
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7800
Therefore, the GCF of Fractions 1829/975,8757/1560 is 1/7800
Least Common Multiple of 975,1560 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 975,1560 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(975,1560) = 195
common factors(in case of two or more numbers have common factors) = 1
GCF(975,1560) x common factors =195 x 1 = 195
LCM(975,1560) = ( 975 × 1560 ) / 195
LCM(975,1560) = 1521000 / 195
LCM(975,1560) = 7800
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FAQs on GCF of Fractions of 1829/975, 8757/1560
1. What is the HCF of 1829,8757?
The HCF of 1829,8757 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 1829/975, 8757/1560?
Answer: GCF of Numerators as per given numbers 1829/975, 8757/1560 is
GCF of Numerators i.e. for 1829,8757 is 1
LCM of denominators i.e. for 975,1560 is 7800.
Thus, GCF of Fractions is 1/7800.Finally, GCF of Fractions for 1829/975, 8757/1560 is 1/7800.