GCF of 988/598, 830/714
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 988/598, 830/714 i.e 2/213486 easily. The following is the detailed procedure to determine the greatest common factor of fractions 988/598, 830/714.
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 988/598,830/714?
Given fractions are 988/598,830/714
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 988/598,830/714, numerators are 988,830
Denominators are 598,714
The GCF of 988,830 is 2 .
LCM of 598,714 is 213486.
The greatest common factor of 988/598,830/714 = [GCF of 988,830]/[LCM of 598,714]= 2/213486
Therefore, the GCF of 988/598,830/714 is 2/213486.
To find the highest common factor of 988,830, we have to find the factors of both numbers and list the highest common factor.
The factors of 988 are 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
The factors of 830 are 1, 2, 5, 10, 83, 166, 415, 830
The HCF of 988,830 is 2.
Lets's calculate GCF of 988,830
| 2 | 988, 830 |
| 494, 415 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 988,830 By Matching Biggest Common Factor Method
Now, list down the factors of 988
:1,2,4,13,19,26,38,52,76,247,494,988
Now, list down the factors of 830
:1,2,5,10,83,166,415,830
Greatest Common Factor
We found the factors 988,830 . The biggest common factor number is the GCF number.
So the greatest common factor 988,830 is 2.
Lets's calculate LCM of 598,714
| 2 | 598, 714 |
| 299, 357 |
∴ So the LCM of the given numbers is 2 x 299 x 357 = 213486
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/213486
Therefore, the GCF of Fractions 988/598,830/714 is 2/213486
Least Common Multiple of 598,714 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 598,714 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(598,714) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(598,714) x common factors =2 x 1 = 2
LCM(598,714) = ( 598 × 714 ) / 2
LCM(598,714) = 426972 / 2
LCM(598,714) = 213486
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FAQs on GCF of Fractions of 988/598, 830/714
1. What is the HCF of 988,830?
The HCF of 988,830 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 988/598, 830/714?
Answer: GCF of Numerators as per given numbers 988/598, 830/714 is
GCF of Numerators i.e. for 988,830 is 2
LCM of denominators i.e. for 598,714 is 213486.
Thus, GCF of Fractions is 2/213486.Finally, GCF of Fractions for 988/598, 830/714 is 2/213486.