GCF of 5932/616, 6930/680
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5932/616, 6930/680 i.e 2/52360 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5932/616, 6930/680.
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 5932/616,6930/680?
Given fractions are 5932/616,6930/680
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 5932/616,6930/680, numerators are 5932,6930
Denominators are 616,680
The GCF of 5932,6930 is 2 .
LCM of 616,680 is 52360.
The greatest common factor of 5932/616,6930/680 = [GCF of 5932,6930]/[LCM of 616,680]= 2/52360
Therefore, the GCF of 5932/616,6930/680 is 2/52360.
To find the highest common factor of 5932,6930, we have to find the factors of both numbers and list the highest common factor.
The factors of 5932 are 1, 2, 4, 1483, 2966, 5932
The factors of 6930 are 1, 2, 3, 5, 6, 7, 9, 10, 11, 14, 15, 18, 21, 22, 30, 33, 35, 42, 45, 55, 63, 66, 70, 77, 90, 99, 105, 110, 126, 154, 165, 198, 210, 231, 315, 330, 385, 462, 495, 630, 693, 770, 990, 1155, 1386, 2310, 3465, 6930
The HCF of 5932,6930 is 2.
Lets's calculate GCF of 5932,6930
| 2 | 5932, 6930 |
| 2966, 3465 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5932,6930 By Matching Biggest Common Factor Method
Now, list down the factors of 5932
:1,2,4,1483,2966,5932
Now, list down the factors of 6930
:1,2,3,5,6,7,9,10,11,14,15,18,21,22,30,33,35,42,45,55,63,66,70,77,90,99,105,110,126,154,165,198,210,231,315,330,385,462,495,630,693,770,990,1155,1386,2310,3465,6930
Greatest Common Factor
We found the factors 5932,6930 . The biggest common factor number is the GCF number.
So the greatest common factor 5932,6930 is 2.
Lets's calculate LCM of 616,680
| 2 | 616, 680 |
| 2 | 308, 340 |
| 2 | 154, 170 |
| 77, 85 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 77 x 85 = 52360
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/52360
Therefore, the GCF of Fractions 5932/616,6930/680 is 2/52360
Least Common Multiple of 616,680 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 616,680 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(616,680) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(616,680) x common factors =8 x 1 = 8
LCM(616,680) = ( 616 × 680 ) / 8
LCM(616,680) = 418880 / 8
LCM(616,680) = 52360
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FAQs on GCF of Fractions of 5932/616, 6930/680
1. What is the HCF of 5932,6930?
The HCF of 5932,6930 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 5932/616, 6930/680?
Answer: GCF of Numerators as per given numbers 5932/616, 6930/680 is
GCF of Numerators i.e. for 5932,6930 is 2
LCM of denominators i.e. for 616,680 is 52360.
Thus, GCF of Fractions is 2/52360.Finally, GCF of Fractions for 5932/616, 6930/680 is 2/52360.