GCF of 68/692, 98/258, 489/688
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 68/692, 98/258, 489/688 i.e 1/357072 easily. The following is the detailed procedure to determine the greatest common factor of fractions 68/692, 98/258, 489/688.
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 68/692,98/258,489/688?
Given fractions are 68/692,98/258,489/688
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 68/692,98/258,489/688, numerators are 68,98,489
Denominators are 692,258,688
The GCF of 68,98,489 is 1 .
LCM of 692,258,688 is 357072.
The greatest common factor of 68/692,98/258,489/688 = [GCF of 68,98,489]/[LCM of 692,258,688]= 1/357072
Therefore, the GCF of 68/692,98/258,489/688 is 1/357072.
To find the highest common factor of 68,98,489, we have to find the factors of both numbers and list the highest common factor.
The factors of 68 are 1, 2, 4, 17, 34, 68
The factors of 98 are 1, 2, 7, 14, 49, 98
The factors of 489 are 1, 3, 163, 489
The HCF of 68,98,489 is 1.
Lets's calculate GCF of 68,98,489
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 68,98,489 By Matching Biggest Common Factor Method
Now, list down the factors of 68
:1,2,4,17,34,68
Now, list down the factors of 98
:1,2,7,14,49,98
Now, list down the factors of 489
:1,3,163,489
Greatest Common Factor
We found the factors 68,98,489 . The biggest common factor number is the GCF number.
So the greatest common factor 68,98,489 is 1.
Lets's calculate LCM of 692,258,688
| 2 | 692, 258, 688 |
| 2 | 346, 129, 344 |
| 43 | 173, 129, 172 |
| 173, 3, 4 |
∴ So the LCM of the given numbers is 2 x 2 x 43 x 173 x 3 x 4 = 357072
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/357072
Therefore, the GCF of Fractions 68/692,98/258,489/688 is 1/357072
Least Common Multiple of 692,258,688 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 692,258,688 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(692,258,688) = 2
common factors(in case of two or more numbers have common factors) = 172
GCF(692,258,688) x common factors =2 x 172 = 344
LCM(692,258,688) = ( 692 × 258 × 688 ) / 344
LCM(692,258,688) = 122832768 / 344
LCM(692,258,688) = 357072
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FAQs on GCF of Fractions of 68/692, 98/258, 489/688
1. What is the HCF of 68,98,489?
The HCF of 68,98,489 is 1
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 68/692, 98/258, 489/688?
Answer: GCF of Numerators as per given numbers 68/692, 98/258, 489/688 is
GCF of Numerators i.e. for 68,98,489 is 1
LCM of denominators i.e. for 692,258,688 is 357072.
Thus, GCF of Fractions is 1/357072.Finally, GCF of Fractions for 68/692, 98/258, 489/688 is 1/357072.