GCF of 98/764, 70/440, 818/692
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 98/764, 70/440, 818/692 i.e 2/14538920 easily. The following is the detailed procedure to determine the greatest common factor of fractions 98/764, 70/440, 818/692.
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 98/764,70/440,818/692?
Given fractions are 98/764,70/440,818/692
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 98/764,70/440,818/692, numerators are 98,70,818
Denominators are 764,440,692
The GCF of 98,70,818 is 2 .
LCM of 764,440,692 is 14538920.
The greatest common factor of 98/764,70/440,818/692 = [GCF of 98,70,818]/[LCM of 764,440,692]= 2/14538920
Therefore, the GCF of 98/764,70/440,818/692 is 2/14538920.
To find the highest common factor of 98,70,818, we have to find the factors of both numbers and list the highest common factor.
The factors of 98 are 1, 2, 7, 14, 49, 98
The factors of 70 are 1, 2, 5, 7, 10, 14, 35, 70
The factors of 818 are 1, 2, 409, 818
The HCF of 98,70,818 is 2.
Lets's calculate GCF of 98,70,818
| 2 | 98, 70, 818 |
| 49, 35, 409 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 98,70,818 By Matching Biggest Common Factor Method
Now, list down the factors of 98
:1,2,7,14,49,98
Now, list down the factors of 70
:1,2,5,7,10,14,35,70
Now, list down the factors of 818
:1,2,409,818
Greatest Common Factor
We found the factors 98,70,818 . The biggest common factor number is the GCF number.
So the greatest common factor 98,70,818 is 2.
Lets's calculate LCM of 764,440,692
| 2 | 764, 440, 692 |
| 2 | 382, 220, 346 |
| 191, 110, 173 |
∴ So the LCM of the given numbers is 2 x 2 x 191 x 110 x 173 = 14538920
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/14538920
Therefore, the GCF of Fractions 98/764,70/440,818/692 is 2/14538920
Least Common Multiple of 764,440,692 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 764,440,692 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(764,440,692) = 4
common factors(in case of two or more numbers have common factors) = 4
GCF(764,440,692) x common factors =4 x 4 = 16
LCM(764,440,692) = ( 764 × 440 × 692 ) / 16
LCM(764,440,692) = 232622720 / 16
LCM(764,440,692) = 14538920
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FAQs on GCF of Fractions of 98/764, 70/440, 818/692
1. What is the HCF of 98,70,818?
The HCF of 98,70,818 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 98/764, 70/440, 818/692?
Answer: GCF of Numerators as per given numbers 98/764, 70/440, 818/692 is
GCF of Numerators i.e. for 98,70,818 is 2
LCM of denominators i.e. for 764,440,692 is 14538920.
Thus, GCF of Fractions is 2/14538920.Finally, GCF of Fractions for 98/764, 70/440, 818/692 is 2/14538920.