GCF of 937/499, 562/420
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 937/499, 562/420 i.e 1/209580 easily. The following is the detailed procedure to determine the greatest common factor of fractions 937/499, 562/420.
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 937/499,562/420?
Given fractions are 937/499,562/420
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 937/499,562/420, numerators are 937,562
Denominators are 499,420
The GCF of 937,562 is 1 .
LCM of 499,420 is 209580.
The greatest common factor of 937/499,562/420 = [GCF of 937,562]/[LCM of 499,420]= 1/209580
Therefore, the GCF of 937/499,562/420 is 1/209580.
To find the highest common factor of 937,562, we have to find the factors of both numbers and list the highest common factor.
The factors of 937 are 1, 937
The factors of 562 are 1, 2, 281, 562
The HCF of 937,562 is 1.
Lets's calculate GCF of 937,562
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 937,562 By Matching Biggest Common Factor Method
Now, list down the factors of 937
:1,937
Now, list down the factors of 562
:1,2,281,562
Greatest Common Factor
We found the factors 937,562 . The biggest common factor number is the GCF number.
So the greatest common factor 937,562 is 1.
Lets's calculate LCM of 499,420
Given numbers has no common factors except 1. So, there LCM is their product i.e 209580
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/209580
Therefore, the GCF of Fractions 937/499,562/420 is 1/209580
Least Common Multiple of 499,420 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 499,420 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(499,420) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(499,420) x common factors =1 x 1 = 1
LCM(499,420) = ( 499 × 420 ) / 1
LCM(499,420) = 209580 / 1
LCM(499,420) = 209580
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FAQs on GCF of Fractions of 937/499, 562/420
1. What is the HCF of 937,562?
The HCF of 937,562 is 1
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 937/499, 562/420?
Answer: GCF of Numerators as per given numbers 937/499, 562/420 is
GCF of Numerators i.e. for 937,562 is 1
LCM of denominators i.e. for 499,420 is 209580.
Thus, GCF of Fractions is 1/209580.Finally, GCF of Fractions for 937/499, 562/420 is 1/209580.