GCF of 656/923, 8726/890
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 656/923, 8726/890 i.e 2/821470 easily. The following is the detailed procedure to determine the greatest common factor of fractions 656/923, 8726/890.
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 656/923,8726/890?
Given fractions are 656/923,8726/890
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 656/923,8726/890, numerators are 656,8726
Denominators are 923,890
The GCF of 656,8726 is 2 .
LCM of 923,890 is 821470.
The greatest common factor of 656/923,8726/890 = [GCF of 656,8726]/[LCM of 923,890]= 2/821470
Therefore, the GCF of 656/923,8726/890 is 2/821470.
To find the highest common factor of 656,8726, we have to find the factors of both numbers and list the highest common factor.
The factors of 656 are 1, 2, 4, 8, 16, 41, 82, 164, 328, 656
The factors of 8726 are 1, 2, 4363, 8726
The HCF of 656,8726 is 2.
Lets's calculate GCF of 656,8726
| 2 | 656, 8726 |
| 328, 4363 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 656,8726 By Matching Biggest Common Factor Method
Now, list down the factors of 656
:1,2,4,8,16,41,82,164,328,656
Now, list down the factors of 8726
:1,2,4363,8726
Greatest Common Factor
We found the factors 656,8726 . The biggest common factor number is the GCF number.
So the greatest common factor 656,8726 is 2.
Lets's calculate LCM of 923,890
Given numbers has no common factors except 1. So, there LCM is their product i.e 821470
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/821470
Therefore, the GCF of Fractions 656/923,8726/890 is 2/821470
Least Common Multiple of 923,890 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 923,890 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(923,890) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(923,890) x common factors =1 x 1 = 1
LCM(923,890) = ( 923 × 890 ) / 1
LCM(923,890) = 821470 / 1
LCM(923,890) = 821470
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FAQs on GCF of Fractions of 656/923, 8726/890
1. What is the HCF of 656,8726?
The HCF of 656,8726 is 2
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 656/923, 8726/890?
Answer: GCF of Numerators as per given numbers 656/923, 8726/890 is
GCF of Numerators i.e. for 656,8726 is 2
LCM of denominators i.e. for 923,890 is 821470.
Thus, GCF of Fractions is 2/821470.Finally, GCF of Fractions for 656/923, 8726/890 is 2/821470.