GCF of 980/63, 560/4939
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 980/63, 560/4939 i.e 140/311157 easily. The following is the detailed procedure to determine the greatest common factor of fractions 980/63, 560/4939.
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 980/63,560/4939?
Given fractions are 980/63,560/4939
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 980/63,560/4939, numerators are 980,560
Denominators are 63,4939
The GCF of 980,560 is 140 .
LCM of 63,4939 is 311157.
The greatest common factor of 980/63,560/4939 = [GCF of 980,560]/[LCM of 63,4939]= 140/311157
Therefore, the GCF of 980/63,560/4939 is 140/311157.
To find the highest common factor of 980,560, 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 560 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
The HCF of 980,560 is 140.
Lets's calculate GCF of 980,560
| 2 | 980, 560 |
| 2 | 490, 280 |
| 5 | 245, 140 |
| 7 | 49, 28 |
| 7, 4 |
∴ So the GCF of the given numbers is 2 x 2 x 5 x 7 = 140
Greatest Common Factor of 980,560 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 560
:1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560
Greatest Common Factor
We found the factors 980,560 . The biggest common factor number is the GCF number.
So the greatest common factor 980,560 is 140.
Lets's calculate LCM of 63,4939
Given numbers has no common factors except 1. So, there LCM is their product i.e 311157
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 140/311157
Therefore, the GCF of Fractions 980/63,560/4939 is 140/311157
Least Common Multiple of 63,4939 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 63,4939 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(63,4939) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(63,4939) x common factors =1 x 1 = 1
LCM(63,4939) = ( 63 × 4939 ) / 1
LCM(63,4939) = 311157 / 1
LCM(63,4939) = 311157
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FAQs on GCF of Fractions of 980/63, 560/4939
1. What is the HCF of 980,560?
The HCF of 980,560 is 140
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 980/63, 560/4939?
Answer: GCF of Numerators as per given numbers 980/63, 560/4939 is
GCF of Numerators i.e. for 980,560 is 140
LCM of denominators i.e. for 63,4939 is 311157.
Thus, GCF of Fractions is 140/311157.Finally, GCF of Fractions for 980/63, 560/4939 is 140/311157.