GCF of 980/66, 437/623
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 980/66, 437/623 i.e 1/41118 easily. The following is the detailed procedure to determine the greatest common factor of fractions 980/66, 437/623.
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 980/66,437/623?
Given fractions are 980/66,437/623
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 980/66,437/623, numerators are 980,437
Denominators are 66,623
The GCF of 980,437 is 1 .
LCM of 66,623 is 41118.
The greatest common factor of 980/66,437/623 = [GCF of 980,437]/[LCM of 66,623]= 1/41118
Therefore, the GCF of 980/66,437/623 is 1/41118.
To find the highest common factor of 980,437, 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 437 are 1, 19, 23, 437
The HCF of 980,437 is 1.
Lets's calculate GCF of 980,437
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 980,437 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 437
:1,19,23,437
Greatest Common Factor
We found the factors 980,437 . The biggest common factor number is the GCF number.
So the greatest common factor 980,437 is 1.
Lets's calculate LCM of 66,623
Given numbers has no common factors except 1. So, there LCM is their product i.e 41118
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/41118
Therefore, the GCF of Fractions 980/66,437/623 is 1/41118
Least Common Multiple of 66,623 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 66,623 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(66,623) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(66,623) x common factors =1 x 1 = 1
LCM(66,623) = ( 66 × 623 ) / 1
LCM(66,623) = 41118 / 1
LCM(66,623) = 41118
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FAQs on GCF of Fractions of 980/66, 437/623
1. What is the HCF of 980,437?
The HCF of 980,437 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 980/66, 437/623?
Answer: GCF of Numerators as per given numbers 980/66, 437/623 is
GCF of Numerators i.e. for 980,437 is 1
LCM of denominators i.e. for 66,623 is 41118.
Thus, GCF of Fractions is 1/41118.Finally, GCF of Fractions for 980/66, 437/623 is 1/41118.