GCF of 4978/142, 8726/570
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4978/142, 8726/570 i.e 2/40470 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4978/142, 8726/570.
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 4978/142,8726/570?
Given fractions are 4978/142,8726/570
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 4978/142,8726/570, numerators are 4978,8726
Denominators are 142,570
The GCF of 4978,8726 is 2 .
LCM of 142,570 is 40470.
The greatest common factor of 4978/142,8726/570 = [GCF of 4978,8726]/[LCM of 142,570]= 2/40470
Therefore, the GCF of 4978/142,8726/570 is 2/40470.
To find the highest common factor of 4978,8726, 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 8726 are 1, 2, 4363, 8726
The HCF of 4978,8726 is 2.
Lets's calculate GCF of 4978,8726
| 2 | 4978, 8726 |
| 2489, 4363 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4978,8726 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 8726
:1,2,4363,8726
Greatest Common Factor
We found the factors 4978,8726 . The biggest common factor number is the GCF number.
So the greatest common factor 4978,8726 is 2.
Lets's calculate LCM of 142,570
| 2 | 142, 570 |
| 71, 285 |
∴ So the LCM of the given numbers is 2 x 71 x 285 = 40470
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/40470
Therefore, the GCF of Fractions 4978/142,8726/570 is 2/40470
Least Common Multiple of 142,570 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 142,570 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(142,570) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(142,570) x common factors =2 x 1 = 2
LCM(142,570) = ( 142 × 570 ) / 2
LCM(142,570) = 80940 / 2
LCM(142,570) = 40470
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FAQs on GCF of Fractions of 4978/142, 8726/570
1. What is the HCF of 4978,8726?
The HCF of 4978,8726 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 4978/142, 8726/570?
Answer: GCF of Numerators as per given numbers 4978/142, 8726/570 is
GCF of Numerators i.e. for 4978,8726 is 2
LCM of denominators i.e. for 142,570 is 40470.
Thus, GCF of Fractions is 2/40470.Finally, GCF of Fractions for 4978/142, 8726/570 is 2/40470.