GCF of 980/53, 224/498
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 980/53, 224/498 i.e 28/26394 easily. The following is the detailed procedure to determine the greatest common factor of fractions 980/53, 224/498.
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 980/53,224/498?
Given fractions are 980/53,224/498
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 980/53,224/498, numerators are 980,224
Denominators are 53,498
The GCF of 980,224 is 28 .
LCM of 53,498 is 26394.
The greatest common factor of 980/53,224/498 = [GCF of 980,224]/[LCM of 53,498]= 28/26394
Therefore, the GCF of 980/53,224/498 is 28/26394.
To find the highest common factor of 980,224, we have to find the factors of both numbers and list the highest common factor.
The factors of 980 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
The factors of 224 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
The HCF of 980,224 is 28.
Lets's calculate GCF of 980,224
| 2 | 980, 224 |
| 2 | 490, 112 |
| 7 | 245, 56 |
| 35, 8 |
∴ So the GCF of the given numbers is 2 x 2 x 7 = 28
Greatest Common Factor of 980,224 By Matching Biggest Common Factor Method
Now, list down the factors of 980
:1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980
Now, list down the factors of 224
:1,2,4,7,8,14,16,28,32,56,112,224
Greatest Common Factor
We found the factors 980,224 . The biggest common factor number is the GCF number.
So the greatest common factor 980,224 is 28.
Lets's calculate LCM of 53,498
Given numbers has no common factors except 1. So, there LCM is their product i.e 26394
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 28/26394
Therefore, the GCF of Fractions 980/53,224/498 is 28/26394
Least Common Multiple of 53,498 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 53,498 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(53,498) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(53,498) x common factors =1 x 1 = 1
LCM(53,498) = ( 53 × 498 ) / 1
LCM(53,498) = 26394 / 1
LCM(53,498) = 26394
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FAQs on GCF of Fractions of 980/53, 224/498
1. What is the HCF of 980,224?
The HCF of 980,224 is 28
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 980/53, 224/498?
Answer: GCF of Numerators as per given numbers 980/53, 224/498 is
GCF of Numerators i.e. for 980,224 is 28
LCM of denominators i.e. for 53,498 is 26394.
Thus, GCF of Fractions is 28/26394.Finally, GCF of Fractions for 980/53, 224/498 is 28/26394.