GCF of 6242/985, 1450/5354
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6242/985, 1450/5354 i.e 2/5273690 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6242/985, 1450/5354.
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 6242/985,1450/5354?
Given fractions are 6242/985,1450/5354
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 6242/985,1450/5354, numerators are 6242,1450
Denominators are 985,5354
The GCF of 6242,1450 is 2 .
LCM of 985,5354 is 5273690.
The greatest common factor of 6242/985,1450/5354 = [GCF of 6242,1450]/[LCM of 985,5354]= 2/5273690
Therefore, the GCF of 6242/985,1450/5354 is 2/5273690.
To find the highest common factor of 6242,1450, we have to find the factors of both numbers and list the highest common factor.
The factors of 6242 are 1, 2, 3121, 6242
The factors of 1450 are 1, 2, 5, 10, 25, 29, 50, 58, 145, 290, 725, 1450
The HCF of 6242,1450 is 2.
Lets's calculate GCF of 6242,1450
| 2 | 6242, 1450 |
| 3121, 725 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6242,1450 By Matching Biggest Common Factor Method
Now, list down the factors of 6242
:1,2,3121,6242
Now, list down the factors of 1450
:1,2,5,10,25,29,50,58,145,290,725,1450
Greatest Common Factor
We found the factors 6242,1450 . The biggest common factor number is the GCF number.
So the greatest common factor 6242,1450 is 2.
Lets's calculate LCM of 985,5354
Given numbers has no common factors except 1. So, there LCM is their product i.e 5273690
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5273690
Therefore, the GCF of Fractions 6242/985,1450/5354 is 2/5273690
Least Common Multiple of 985,5354 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 985,5354 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(985,5354) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(985,5354) x common factors =1 x 1 = 1
LCM(985,5354) = ( 985 × 5354 ) / 1
LCM(985,5354) = 5273690 / 1
LCM(985,5354) = 5273690
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FAQs on GCF of Fractions of 6242/985, 1450/5354
1. What is the HCF of 6242,1450?
The HCF of 6242,1450 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 6242/985, 1450/5354?
Answer: GCF of Numerators as per given numbers 6242/985, 1450/5354 is
GCF of Numerators i.e. for 6242,1450 is 2
LCM of denominators i.e. for 985,5354 is 5273690.
Thus, GCF of Fractions is 2/5273690.Finally, GCF of Fractions for 6242/985, 1450/5354 is 2/5273690.