GCF of 5358/781, 3990/5737
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5358/781, 3990/5737 i.e 114/4480597 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5358/781, 3990/5737.
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 5358/781,3990/5737?
Given fractions are 5358/781,3990/5737
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 5358/781,3990/5737, numerators are 5358,3990
Denominators are 781,5737
The GCF of 5358,3990 is 114 .
LCM of 781,5737 is 4480597.
The greatest common factor of 5358/781,3990/5737 = [GCF of 5358,3990]/[LCM of 781,5737]= 114/4480597
Therefore, the GCF of 5358/781,3990/5737 is 114/4480597.
To find the highest common factor of 5358,3990, we have to find the factors of both numbers and list the highest common factor.
The factors of 5358 are 1, 2, 3, 6, 19, 38, 47, 57, 94, 114, 141, 282, 893, 1786, 2679, 5358
The factors of 3990 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 19, 21, 30, 35, 38, 42, 57, 70, 95, 105, 114, 133, 190, 210, 266, 285, 399, 570, 665, 798, 1330, 1995, 3990
The HCF of 5358,3990 is 114.
Lets's calculate GCF of 5358,3990
| 2 | 5358, 3990 |
| 3 | 2679, 1995 |
| 19 | 893, 665 |
| 47, 35 |
∴ So the GCF of the given numbers is 2 x 3 x 19 = 114
Greatest Common Factor of 5358,3990 By Matching Biggest Common Factor Method
Now, list down the factors of 5358
:1,2,3,6,19,38,47,57,94,114,141,282,893,1786,2679,5358
Now, list down the factors of 3990
:1,2,3,5,6,7,10,14,15,19,21,30,35,38,42,57,70,95,105,114,133,190,210,266,285,399,570,665,798,1330,1995,3990
Greatest Common Factor
We found the factors 5358,3990 . The biggest common factor number is the GCF number.
So the greatest common factor 5358,3990 is 114.
Lets's calculate LCM of 781,5737
Given numbers has no common factors except 1. So, there LCM is their product i.e 4480597
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 114/4480597
Therefore, the GCF of Fractions 5358/781,3990/5737 is 114/4480597
Least Common Multiple of 781,5737 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 781,5737 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(781,5737) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(781,5737) x common factors =1 x 1 = 1
LCM(781,5737) = ( 781 × 5737 ) / 1
LCM(781,5737) = 4480597 / 1
LCM(781,5737) = 4480597
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FAQs on GCF of Fractions of 5358/781, 3990/5737
1. What is the HCF of 5358,3990?
The HCF of 5358,3990 is 114
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 5358/781, 3990/5737?
Answer: GCF of Numerators as per given numbers 5358/781, 3990/5737 is
GCF of Numerators i.e. for 5358,3990 is 114
LCM of denominators i.e. for 781,5737 is 4480597.
Thus, GCF of Fractions is 114/4480597.Finally, GCF of Fractions for 5358/781, 3990/5737 is 114/4480597.