GCF of 249/370, 616/999
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 249/370, 616/999 i.e 1/9990 easily. The following is the detailed procedure to determine the greatest common factor of fractions 249/370, 616/999.
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 249/370,616/999?
Given fractions are 249/370,616/999
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 249/370,616/999, numerators are 249,616
Denominators are 370,999
The GCF of 249,616 is 1 .
LCM of 370,999 is 9990.
The greatest common factor of 249/370,616/999 = [GCF of 249,616]/[LCM of 370,999]= 1/9990
Therefore, the GCF of 249/370,616/999 is 1/9990.
To find the highest common factor of 249,616, we have to find the factors of both numbers and list the highest common factor.
The factors of 249 are 1, 3, 83, 249
The factors of 616 are 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
The HCF of 249,616 is 1.
Lets's calculate GCF of 249,616
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 249,616 By Matching Biggest Common Factor Method
Now, list down the factors of 249
:1,3,83,249
Now, list down the factors of 616
:1,2,4,7,8,11,14,22,28,44,56,77,88,154,308,616
Greatest Common Factor
We found the factors 249,616 . The biggest common factor number is the GCF number.
So the greatest common factor 249,616 is 1.
Lets's calculate LCM of 370,999
| 37 | 370, 999 |
| 10, 27 |
∴ So the LCM of the given numbers is 37 x 10 x 27 = 9990
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9990
Therefore, the GCF of Fractions 249/370,616/999 is 1/9990
Least Common Multiple of 370,999 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 370,999 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(370,999) = 37
common factors(in case of two or more numbers have common factors) = 1
GCF(370,999) x common factors =37 x 1 = 37
LCM(370,999) = ( 370 × 999 ) / 37
LCM(370,999) = 369630 / 37
LCM(370,999) = 9990
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FAQs on GCF of Fractions of 249/370, 616/999
1. What is the HCF of 249,616?
The HCF of 249,616 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 249/370, 616/999?
Answer: GCF of Numerators as per given numbers 249/370, 616/999 is
GCF of Numerators i.e. for 249,616 is 1
LCM of denominators i.e. for 370,999 is 9990.
Thus, GCF of Fractions is 1/9990.Finally, GCF of Fractions for 249/370, 616/999 is 1/9990.