GCF of 890/641, 692/262, 726/254
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 890/641, 692/262, 726/254 i.e 2/21328634 easily. The following is the detailed procedure to determine the greatest common factor of fractions 890/641, 692/262, 726/254.
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 890/641,692/262,726/254?
Given fractions are 890/641,692/262,726/254
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 890/641,692/262,726/254, numerators are 890,692,726
Denominators are 641,262,254
The GCF of 890,692,726 is 2 .
LCM of 641,262,254 is 21328634.
The greatest common factor of 890/641,692/262,726/254 = [GCF of 890,692,726]/[LCM of 641,262,254]= 2/21328634
Therefore, the GCF of 890/641,692/262,726/254 is 2/21328634.
To find the highest common factor of 890,692,726, we have to find the factors of both numbers and list the highest common factor.
The factors of 890 are 1, 2, 5, 10, 89, 178, 445, 890
The factors of 692 are 1, 2, 4, 173, 346, 692
The factors of 726 are 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
The HCF of 890,692,726 is 2.
Lets's calculate GCF of 890,692,726
| 2 | 890, 692, 726 |
| 445, 346, 363 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 890,692,726 By Matching Biggest Common Factor Method
Now, list down the factors of 890
:1,2,5,10,89,178,445,890
Now, list down the factors of 692
:1,2,4,173,346,692
Now, list down the factors of 726
:1,2,3,6,11,22,33,66,121,242,363,726
Greatest Common Factor
We found the factors 890,692,726 . The biggest common factor number is the GCF number.
So the greatest common factor 890,692,726 is 2.
Lets's calculate LCM of 641,262,254
| 2 | 641, 262, 254 |
| 641, 131, 127 |
∴ So the LCM of the given numbers is 2 x 641 x 131 x 127 = 21328634
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/21328634
Therefore, the GCF of Fractions 890/641,692/262,726/254 is 2/21328634
Least Common Multiple of 641,262,254 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 641,262,254 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(641,262,254) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(641,262,254) x common factors =1 x 2 = 2
LCM(641,262,254) = ( 641 × 262 × 254 ) / 2
LCM(641,262,254) = 42657268 / 2
LCM(641,262,254) = 21328634
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 890/641, 692/262, 726/254
1. What is the HCF of 890,692,726?
The HCF of 890,692,726 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 890/641, 692/262, 726/254?
Answer: GCF of Numerators as per given numbers 890/641, 692/262, 726/254 is
GCF of Numerators i.e. for 890,692,726 is 2
LCM of denominators i.e. for 641,262,254 is 21328634.
Thus, GCF of Fractions is 2/21328634.Finally, GCF of Fractions for 890/641, 692/262, 726/254 is 2/21328634.