GCF of 881/975, 924/580
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 881/975, 924/580 i.e 1/113100 easily. The following is the detailed procedure to determine the greatest common factor of fractions 881/975, 924/580.
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 881/975,924/580?
Given fractions are 881/975,924/580
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 881/975,924/580, numerators are 881,924
Denominators are 975,580
The GCF of 881,924 is 1 .
LCM of 975,580 is 113100.
The greatest common factor of 881/975,924/580 = [GCF of 881,924]/[LCM of 975,580]= 1/113100
Therefore, the GCF of 881/975,924/580 is 1/113100.
To find the highest common factor of 881,924, we have to find the factors of both numbers and list the highest common factor.
The factors of 881 are 1, 881
The factors of 924 are 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
The HCF of 881,924 is 1.
Lets's calculate GCF of 881,924
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 881,924 By Matching Biggest Common Factor Method
Now, list down the factors of 881
:1,881
Now, list down the factors of 924
:1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,66,77,84,132,154,231,308,462,924
Greatest Common Factor
We found the factors 881,924 . The biggest common factor number is the GCF number.
So the greatest common factor 881,924 is 1.
Lets's calculate LCM of 975,580
| 5 | 975, 580 |
| 195, 116 |
∴ So the LCM of the given numbers is 5 x 195 x 116 = 113100
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/113100
Therefore, the GCF of Fractions 881/975,924/580 is 1/113100
Least Common Multiple of 975,580 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 975,580 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(975,580) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(975,580) x common factors =5 x 1 = 5
LCM(975,580) = ( 975 × 580 ) / 5
LCM(975,580) = 565500 / 5
LCM(975,580) = 113100
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FAQs on GCF of Fractions of 881/975, 924/580
1. What is the HCF of 881,924?
The HCF of 881,924 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 881/975, 924/580?
Answer: GCF of Numerators as per given numbers 881/975, 924/580 is
GCF of Numerators i.e. for 881,924 is 1
LCM of denominators i.e. for 975,580 is 113100.
Thus, GCF of Fractions is 1/113100.Finally, GCF of Fractions for 881/975, 924/580 is 1/113100.