GCF of 4712/140, 1953/9874
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4712/140, 1953/9874 i.e 31/691180 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4712/140, 1953/9874.
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 4712/140,1953/9874?
Given fractions are 4712/140,1953/9874
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 4712/140,1953/9874, numerators are 4712,1953
Denominators are 140,9874
The GCF of 4712,1953 is 31 .
LCM of 140,9874 is 691180.
The greatest common factor of 4712/140,1953/9874 = [GCF of 4712,1953]/[LCM of 140,9874]= 31/691180
Therefore, the GCF of 4712/140,1953/9874 is 31/691180.
To find the highest common factor of 4712,1953, we have to find the factors of both numbers and list the highest common factor.
The factors of 4712 are 1, 2, 4, 8, 19, 31, 38, 62, 76, 124, 152, 248, 589, 1178, 2356, 4712
The factors of 1953 are 1, 3, 7, 9, 21, 31, 63, 93, 217, 279, 651, 1953
The HCF of 4712,1953 is 31.
Lets's calculate GCF of 4712,1953
| 31 | 4712, 1953 |
| 152, 63 |
∴ So the GCF of the given numbers is 31 = 31
Greatest Common Factor of 4712,1953 By Matching Biggest Common Factor Method
Now, list down the factors of 4712
:1,2,4,8,19,31,38,62,76,124,152,248,589,1178,2356,4712
Now, list down the factors of 1953
:1,3,7,9,21,31,63,93,217,279,651,1953
Greatest Common Factor
We found the factors 4712,1953 . The biggest common factor number is the GCF number.
So the greatest common factor 4712,1953 is 31.
Lets's calculate LCM of 140,9874
| 2 | 140, 9874 |
| 70, 4937 |
∴ So the LCM of the given numbers is 2 x 70 x 4937 = 691180
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 31/691180
Therefore, the GCF of Fractions 4712/140,1953/9874 is 31/691180
Least Common Multiple of 140,9874 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 140,9874 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(140,9874) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(140,9874) x common factors =2 x 1 = 2
LCM(140,9874) = ( 140 × 9874 ) / 2
LCM(140,9874) = 1382360 / 2
LCM(140,9874) = 691180
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FAQs on GCF of Fractions of 4712/140, 1953/9874
1. What is the HCF of 4712,1953?
The HCF of 4712,1953 is 31
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 4712/140, 1953/9874?
Answer: GCF of Numerators as per given numbers 4712/140, 1953/9874 is
GCF of Numerators i.e. for 4712,1953 is 31
LCM of denominators i.e. for 140,9874 is 691180.
Thus, GCF of Fractions is 31/691180.Finally, GCF of Fractions for 4712/140, 1953/9874 is 31/691180.