GCF of 4294/698, 4318/523
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4294/698, 4318/523 i.e 2/365054 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4294/698, 4318/523.
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 4294/698,4318/523?
Given fractions are 4294/698,4318/523
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 4294/698,4318/523, numerators are 4294,4318
Denominators are 698,523
The GCF of 4294,4318 is 2 .
LCM of 698,523 is 365054.
The greatest common factor of 4294/698,4318/523 = [GCF of 4294,4318]/[LCM of 698,523]= 2/365054
Therefore, the GCF of 4294/698,4318/523 is 2/365054.
To find the highest common factor of 4294,4318, we have to find the factors of both numbers and list the highest common factor.
The factors of 4294 are 1, 2, 19, 38, 113, 226, 2147, 4294
The factors of 4318 are 1, 2, 17, 34, 127, 254, 2159, 4318
The HCF of 4294,4318 is 2.
Lets's calculate GCF of 4294,4318
| 2 | 4294, 4318 |
| 2147, 2159 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4294,4318 By Matching Biggest Common Factor Method
Now, list down the factors of 4294
:1,2,19,38,113,226,2147,4294
Now, list down the factors of 4318
:1,2,17,34,127,254,2159,4318
Greatest Common Factor
We found the factors 4294,4318 . The biggest common factor number is the GCF number.
So the greatest common factor 4294,4318 is 2.
Lets's calculate LCM of 698,523
Given numbers has no common factors except 1. So, there LCM is their product i.e 365054
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/365054
Therefore, the GCF of Fractions 4294/698,4318/523 is 2/365054
Least Common Multiple of 698,523 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 698,523 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(698,523) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(698,523) x common factors =1 x 1 = 1
LCM(698,523) = ( 698 × 523 ) / 1
LCM(698,523) = 365054 / 1
LCM(698,523) = 365054
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FAQs on GCF of Fractions of 4294/698, 4318/523
1. What is the HCF of 4294,4318?
The HCF of 4294,4318 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 4294/698, 4318/523?
Answer: GCF of Numerators as per given numbers 4294/698, 4318/523 is
GCF of Numerators i.e. for 4294,4318 is 2
LCM of denominators i.e. for 698,523 is 365054.
Thus, GCF of Fractions is 2/365054.Finally, GCF of Fractions for 4294/698, 4318/523 is 2/365054.