GCF of 925/564, 971/904
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 925/564, 971/904 i.e 1/127464 easily. The following is the detailed procedure to determine the greatest common factor of fractions 925/564, 971/904.
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 925/564,971/904?
Given fractions are 925/564,971/904
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 925/564,971/904, numerators are 925,971
Denominators are 564,904
The GCF of 925,971 is 1 .
LCM of 564,904 is 127464.
The greatest common factor of 925/564,971/904 = [GCF of 925,971]/[LCM of 564,904]= 1/127464
Therefore, the GCF of 925/564,971/904 is 1/127464.
To find the highest common factor of 925,971, we have to find the factors of both numbers and list the highest common factor.
The factors of 925 are 1, 5, 25, 37, 185, 925
The factors of 971 are 1, 971
The HCF of 925,971 is 1.
Lets's calculate GCF of 925,971
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 925,971 By Matching Biggest Common Factor Method
Now, list down the factors of 925
:1,5,25,37,185,925
Now, list down the factors of 971
:1,971
Greatest Common Factor
We found the factors 925,971 . The biggest common factor number is the GCF number.
So the greatest common factor 925,971 is 1.
Lets's calculate LCM of 564,904
| 2 | 564, 904 |
| 2 | 282, 452 |
| 141, 226 |
∴ So the LCM of the given numbers is 2 x 2 x 141 x 226 = 127464
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/127464
Therefore, the GCF of Fractions 925/564,971/904 is 1/127464
Least Common Multiple of 564,904 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 564,904 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(564,904) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(564,904) x common factors =4 x 1 = 4
LCM(564,904) = ( 564 × 904 ) / 4
LCM(564,904) = 509856 / 4
LCM(564,904) = 127464
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FAQs on GCF of Fractions of 925/564, 971/904
1. What is the HCF of 925,971?
The HCF of 925,971 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 925/564, 971/904?
Answer: GCF of Numerators as per given numbers 925/564, 971/904 is
GCF of Numerators i.e. for 925,971 is 1
LCM of denominators i.e. for 564,904 is 127464.
Thus, GCF of Fractions is 1/127464.Finally, GCF of Fractions for 925/564, 971/904 is 1/127464.