GCF of 98/548, 3485/3506
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 98/548, 3485/3506 i.e 1/960644 easily. The following is the detailed procedure to determine the greatest common factor of fractions 98/548, 3485/3506.
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 98/548,3485/3506?
Given fractions are 98/548,3485/3506
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 98/548,3485/3506, numerators are 98,3485
Denominators are 548,3506
The GCF of 98,3485 is 1 .
LCM of 548,3506 is 960644.
The greatest common factor of 98/548,3485/3506 = [GCF of 98,3485]/[LCM of 548,3506]= 1/960644
Therefore, the GCF of 98/548,3485/3506 is 1/960644.
To find the highest common factor of 98,3485, 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 3485 are 1, 5, 17, 41, 85, 205, 697, 3485
The HCF of 98,3485 is 1.
Lets's calculate GCF of 98,3485
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 98,3485 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 3485
:1,5,17,41,85,205,697,3485
Greatest Common Factor
We found the factors 98,3485 . The biggest common factor number is the GCF number.
So the greatest common factor 98,3485 is 1.
Lets's calculate LCM of 548,3506
| 2 | 548, 3506 |
| 274, 1753 |
∴ So the LCM of the given numbers is 2 x 274 x 1753 = 960644
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/960644
Therefore, the GCF of Fractions 98/548,3485/3506 is 1/960644
Least Common Multiple of 548,3506 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 548,3506 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(548,3506) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(548,3506) x common factors =2 x 1 = 2
LCM(548,3506) = ( 548 × 3506 ) / 2
LCM(548,3506) = 1921288 / 2
LCM(548,3506) = 960644
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FAQs on GCF of Fractions of 98/548, 3485/3506
1. What is the HCF of 98,3485?
The HCF of 98,3485 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 98/548, 3485/3506?
Answer: GCF of Numerators as per given numbers 98/548, 3485/3506 is
GCF of Numerators i.e. for 98,3485 is 1
LCM of denominators i.e. for 548,3506 is 960644.
Thus, GCF of Fractions is 1/960644.Finally, GCF of Fractions for 98/548, 3485/3506 is 1/960644.