GCF of 4978/508, 1570/3671
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4978/508, 1570/3671 i.e 2/1864868 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4978/508, 1570/3671.
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 4978/508,1570/3671?
Given fractions are 4978/508,1570/3671
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 4978/508,1570/3671, numerators are 4978,1570
Denominators are 508,3671
The GCF of 4978,1570 is 2 .
LCM of 508,3671 is 1864868.
The greatest common factor of 4978/508,1570/3671 = [GCF of 4978,1570]/[LCM of 508,3671]= 2/1864868
Therefore, the GCF of 4978/508,1570/3671 is 2/1864868.
To find the highest common factor of 4978,1570, we have to find the factors of both numbers and list the highest common factor.
The factors of 4978 are 1, 2, 19, 38, 131, 262, 2489, 4978
The factors of 1570 are 1, 2, 5, 10, 157, 314, 785, 1570
The HCF of 4978,1570 is 2.
Lets's calculate GCF of 4978,1570
| 2 | 4978, 1570 |
| 2489, 785 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4978,1570 By Matching Biggest Common Factor Method
Now, list down the factors of 4978
:1,2,19,38,131,262,2489,4978
Now, list down the factors of 1570
:1,2,5,10,157,314,785,1570
Greatest Common Factor
We found the factors 4978,1570 . The biggest common factor number is the GCF number.
So the greatest common factor 4978,1570 is 2.
Lets's calculate LCM of 508,3671
Given numbers has no common factors except 1. So, there LCM is their product i.e 1864868
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1864868
Therefore, the GCF of Fractions 4978/508,1570/3671 is 2/1864868
Least Common Multiple of 508,3671 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 508,3671 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(508,3671) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(508,3671) x common factors =1 x 1 = 1
LCM(508,3671) = ( 508 × 3671 ) / 1
LCM(508,3671) = 1864868 / 1
LCM(508,3671) = 1864868
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4978/508, 1570/3671
1. What is the HCF of 4978,1570?
The HCF of 4978,1570 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 4978/508, 1570/3671?
Answer: GCF of Numerators as per given numbers 4978/508, 1570/3671 is
GCF of Numerators i.e. for 4978,1570 is 2
LCM of denominators i.e. for 508,3671 is 1864868.
Thus, GCF of Fractions is 2/1864868.Finally, GCF of Fractions for 4978/508, 1570/3671 is 2/1864868.