GCF of 152/561, 4570/2978
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 152/561, 4570/2978 i.e 2/1670658 easily. The following is the detailed procedure to determine the greatest common factor of fractions 152/561, 4570/2978.
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 152/561,4570/2978?
Given fractions are 152/561,4570/2978
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 152/561,4570/2978, numerators are 152,4570
Denominators are 561,2978
The GCF of 152,4570 is 2 .
LCM of 561,2978 is 1670658.
The greatest common factor of 152/561,4570/2978 = [GCF of 152,4570]/[LCM of 561,2978]= 2/1670658
Therefore, the GCF of 152/561,4570/2978 is 2/1670658.
To find the highest common factor of 152,4570, we have to find the factors of both numbers and list the highest common factor.
The factors of 152 are 1, 2, 4, 8, 19, 38, 76, 152
The factors of 4570 are 1, 2, 5, 10, 457, 914, 2285, 4570
The HCF of 152,4570 is 2.
Lets's calculate GCF of 152,4570
| 2 | 152, 4570 |
| 76, 2285 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 152,4570 By Matching Biggest Common Factor Method
Now, list down the factors of 152
:1,2,4,8,19,38,76,152
Now, list down the factors of 4570
:1,2,5,10,457,914,2285,4570
Greatest Common Factor
We found the factors 152,4570 . The biggest common factor number is the GCF number.
So the greatest common factor 152,4570 is 2.
Lets's calculate LCM of 561,2978
Given numbers has no common factors except 1. So, there LCM is their product i.e 1670658
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1670658
Therefore, the GCF of Fractions 152/561,4570/2978 is 2/1670658
Least Common Multiple of 561,2978 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 561,2978 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(561,2978) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(561,2978) x common factors =1 x 1 = 1
LCM(561,2978) = ( 561 × 2978 ) / 1
LCM(561,2978) = 1670658 / 1
LCM(561,2978) = 1670658
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FAQs on GCF of Fractions of 152/561, 4570/2978
1. What is the HCF of 152,4570?
The HCF of 152,4570 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 152/561, 4570/2978?
Answer: GCF of Numerators as per given numbers 152/561, 4570/2978 is
GCF of Numerators i.e. for 152,4570 is 2
LCM of denominators i.e. for 561,2978 is 1670658.
Thus, GCF of Fractions is 2/1670658.Finally, GCF of Fractions for 152/561, 4570/2978 is 2/1670658.