GCF of 908/29, 698/7314
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 908/29, 698/7314 i.e 2/212106 easily. The following is the detailed procedure to determine the greatest common factor of fractions 908/29, 698/7314.
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 908/29,698/7314?
Given fractions are 908/29,698/7314
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 908/29,698/7314, numerators are 908,698
Denominators are 29,7314
The GCF of 908,698 is 2 .
LCM of 29,7314 is 212106.
The greatest common factor of 908/29,698/7314 = [GCF of 908,698]/[LCM of 29,7314]= 2/212106
Therefore, the GCF of 908/29,698/7314 is 2/212106.
To find the highest common factor of 908,698, we have to find the factors of both numbers and list the highest common factor.
The factors of 908 are 1, 2, 4, 227, 454, 908
The factors of 698 are 1, 2, 349, 698
The HCF of 908,698 is 2.
Lets's calculate GCF of 908,698
| 2 | 908, 698 |
| 454, 349 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 908,698 By Matching Biggest Common Factor Method
Now, list down the factors of 908
:1,2,4,227,454,908
Now, list down the factors of 698
:1,2,349,698
Greatest Common Factor
We found the factors 908,698 . The biggest common factor number is the GCF number.
So the greatest common factor 908,698 is 2.
Lets's calculate LCM of 29,7314
Given numbers has no common factors except 1. So, there LCM is their product i.e 212106
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/212106
Therefore, the GCF of Fractions 908/29,698/7314 is 2/212106
Least Common Multiple of 29,7314 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 29,7314 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(29,7314) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(29,7314) x common factors =1 x 1 = 1
LCM(29,7314) = ( 29 × 7314 ) / 1
LCM(29,7314) = 212106 / 1
LCM(29,7314) = 212106
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FAQs on GCF of Fractions of 908/29, 698/7314
1. What is the HCF of 908,698?
The HCF of 908,698 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 908/29, 698/7314?
Answer: GCF of Numerators as per given numbers 908/29, 698/7314 is
GCF of Numerators i.e. for 908,698 is 2
LCM of denominators i.e. for 29,7314 is 212106.
Thus, GCF of Fractions is 2/212106.Finally, GCF of Fractions for 908/29, 698/7314 is 2/212106.