GCF of 1960/742, 8366/565
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1960/742, 8366/565 i.e 2/419230 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1960/742, 8366/565.
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 1960/742,8366/565?
Given fractions are 1960/742,8366/565
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 1960/742,8366/565, numerators are 1960,8366
Denominators are 742,565
The GCF of 1960,8366 is 2 .
LCM of 742,565 is 419230.
The greatest common factor of 1960/742,8366/565 = [GCF of 1960,8366]/[LCM of 742,565]= 2/419230
Therefore, the GCF of 1960/742,8366/565 is 2/419230.
To find the highest common factor of 1960,8366, we have to find the factors of both numbers and list the highest common factor.
The factors of 1960 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 49, 56, 70, 98, 140, 196, 245, 280, 392, 490, 980, 1960
The factors of 8366 are 1, 2, 47, 89, 94, 178, 4183, 8366
The HCF of 1960,8366 is 2.
Lets's calculate GCF of 1960,8366
| 2 | 1960, 8366 |
| 980, 4183 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1960,8366 By Matching Biggest Common Factor Method
Now, list down the factors of 1960
:1,2,4,5,7,8,10,14,20,28,35,40,49,56,70,98,140,196,245,280,392,490,980,1960
Now, list down the factors of 8366
:1,2,47,89,94,178,4183,8366
Greatest Common Factor
We found the factors 1960,8366 . The biggest common factor number is the GCF number.
So the greatest common factor 1960,8366 is 2.
Lets's calculate LCM of 742,565
Given numbers has no common factors except 1. So, there LCM is their product i.e 419230
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/419230
Therefore, the GCF of Fractions 1960/742,8366/565 is 2/419230
Least Common Multiple of 742,565 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 742,565 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(742,565) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(742,565) x common factors =1 x 1 = 1
LCM(742,565) = ( 742 × 565 ) / 1
LCM(742,565) = 419230 / 1
LCM(742,565) = 419230
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FAQs on GCF of Fractions of 1960/742, 8366/565
1. What is the HCF of 1960,8366?
The HCF of 1960,8366 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 1960/742, 8366/565?
Answer: GCF of Numerators as per given numbers 1960/742, 8366/565 is
GCF of Numerators i.e. for 1960,8366 is 2
LCM of denominators i.e. for 742,565 is 419230.
Thus, GCF of Fractions is 2/419230.Finally, GCF of Fractions for 1960/742, 8366/565 is 2/419230.