GCF of 1676/707, 1932/989
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1676/707, 1932/989 i.e 4/699223 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1676/707, 1932/989.
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 1676/707,1932/989?
Given fractions are 1676/707,1932/989
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 1676/707,1932/989, numerators are 1676,1932
Denominators are 707,989
The GCF of 1676,1932 is 4 .
LCM of 707,989 is 699223.
The greatest common factor of 1676/707,1932/989 = [GCF of 1676,1932]/[LCM of 707,989]= 4/699223
Therefore, the GCF of 1676/707,1932/989 is 4/699223.
To find the highest common factor of 1676,1932, we have to find the factors of both numbers and list the highest common factor.
The factors of 1676 are 1, 2, 4, 419, 838, 1676
The factors of 1932 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 23, 28, 42, 46, 69, 84, 92, 138, 161, 276, 322, 483, 644, 966, 1932
The HCF of 1676,1932 is 4.
Lets's calculate GCF of 1676,1932
| 2 | 1676, 1932 |
| 2 | 838, 966 |
| 419, 483 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 1676,1932 By Matching Biggest Common Factor Method
Now, list down the factors of 1676
:1,2,4,419,838,1676
Now, list down the factors of 1932
:1,2,3,4,6,7,12,14,21,23,28,42,46,69,84,92,138,161,276,322,483,644,966,1932
Greatest Common Factor
We found the factors 1676,1932 . The biggest common factor number is the GCF number.
So the greatest common factor 1676,1932 is 4.
Lets's calculate LCM of 707,989
Given numbers has no common factors except 1. So, there LCM is their product i.e 699223
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/699223
Therefore, the GCF of Fractions 1676/707,1932/989 is 4/699223
Least Common Multiple of 707,989 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 707,989 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(707,989) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(707,989) x common factors =1 x 1 = 1
LCM(707,989) = ( 707 × 989 ) / 1
LCM(707,989) = 699223 / 1
LCM(707,989) = 699223
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FAQs on GCF of Fractions of 1676/707, 1932/989
1. What is the HCF of 1676,1932?
The HCF of 1676,1932 is 4
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 1676/707, 1932/989?
Answer: GCF of Numerators as per given numbers 1676/707, 1932/989 is
GCF of Numerators i.e. for 1676,1932 is 4
LCM of denominators i.e. for 707,989 is 699223.
Thus, GCF of Fractions is 4/699223.Finally, GCF of Fractions for 1676/707, 1932/989 is 4/699223.