GCF of 490/749, 784/749, 295/220
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 490/749, 784/749, 295/220 i.e 1/164780 easily. The following is the detailed procedure to determine the greatest common factor of fractions 490/749, 784/749, 295/220.
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 490/749,784/749,295/220?
Given fractions are 490/749,784/749,295/220
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 490/749,784/749,295/220, numerators are 490,784,295
Denominators are 749,749,220
The GCF of 490,784,295 is 1 .
LCM of 749,749,220 is 164780.
The greatest common factor of 490/749,784/749,295/220 = [GCF of 490,784,295]/[LCM of 749,749,220]= 1/164780
Therefore, the GCF of 490/749,784/749,295/220 is 1/164780.
To find the highest common factor of 490,784,295, we have to find the factors of both numbers and list the highest common factor.
The factors of 490 are 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
The factors of 784 are 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
The factors of 295 are 1, 5, 59, 295
The HCF of 490,784,295 is 1.
Lets's calculate GCF of 490,784,295
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 490,784,295 By Matching Biggest Common Factor Method
Now, list down the factors of 490
:1,2,5,7,10,14,35,49,70,98,245,490
Now, list down the factors of 784
:1,2,4,7,8,14,16,28,49,56,98,112,196,392,784
Now, list down the factors of 295
:1,5,59,295
Greatest Common Factor
We found the factors 490,784,295 . The biggest common factor number is the GCF number.
So the greatest common factor 490,784,295 is 1.
Lets's calculate LCM of 749,749,220
| 7 | 749, 749, 220 |
| 107 | 107, 107, 220 |
| 1, 1, 220 |
∴ So the LCM of the given numbers is 7 x 107 x 1 x 1 x 220 = 164780
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/164780
Therefore, the GCF of Fractions 490/749,784/749,295/220 is 1/164780
Least Common Multiple of 749,749,220 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 749,749,220 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(749,749,220) = 1
common factors(in case of two or more numbers have common factors) = 749
GCF(749,749,220) x common factors =1 x 749 = 749
LCM(749,749,220) = ( 749 × 749 × 220 ) / 749
LCM(749,749,220) = 123420220 / 749
LCM(749,749,220) = 164780
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FAQs on GCF of Fractions of 490/749, 784/749, 295/220
1. What is the HCF of 490,784,295?
The HCF of 490,784,295 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 490/749, 784/749, 295/220?
Answer: GCF of Numerators as per given numbers 490/749, 784/749, 295/220 is
GCF of Numerators i.e. for 490,784,295 is 1
LCM of denominators i.e. for 749,749,220 is 164780.
Thus, GCF of Fractions is 1/164780.Finally, GCF of Fractions for 490/749, 784/749, 295/220 is 1/164780.