GCF of 7124/930, 6978/580
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7124/930, 6978/580 i.e 2/53940 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7124/930, 6978/580.
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 7124/930,6978/580?
Given fractions are 7124/930,6978/580
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 7124/930,6978/580, numerators are 7124,6978
Denominators are 930,580
The GCF of 7124,6978 is 2 .
LCM of 930,580 is 53940.
The greatest common factor of 7124/930,6978/580 = [GCF of 7124,6978]/[LCM of 930,580]= 2/53940
Therefore, the GCF of 7124/930,6978/580 is 2/53940.
To find the highest common factor of 7124,6978, we have to find the factors of both numbers and list the highest common factor.
The factors of 7124 are 1, 2, 4, 13, 26, 52, 137, 274, 548, 1781, 3562, 7124
The factors of 6978 are 1, 2, 3, 6, 1163, 2326, 3489, 6978
The HCF of 7124,6978 is 2.
Lets's calculate GCF of 7124,6978
| 2 | 7124, 6978 |
| 3562, 3489 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7124,6978 By Matching Biggest Common Factor Method
Now, list down the factors of 7124
:1,2,4,13,26,52,137,274,548,1781,3562,7124
Now, list down the factors of 6978
:1,2,3,6,1163,2326,3489,6978
Greatest Common Factor
We found the factors 7124,6978 . The biggest common factor number is the GCF number.
So the greatest common factor 7124,6978 is 2.
Lets's calculate LCM of 930,580
| 2 | 930, 580 |
| 5 | 465, 290 |
| 93, 58 |
∴ So the LCM of the given numbers is 2 x 5 x 93 x 58 = 53940
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/53940
Therefore, the GCF of Fractions 7124/930,6978/580 is 2/53940
Least Common Multiple of 930,580 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 930,580 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(930,580) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(930,580) x common factors =10 x 1 = 10
LCM(930,580) = ( 930 × 580 ) / 10
LCM(930,580) = 539400 / 10
LCM(930,580) = 53940
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FAQs on GCF of Fractions of 7124/930, 6978/580
1. What is the HCF of 7124,6978?
The HCF of 7124,6978 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 7124/930, 6978/580?
Answer: GCF of Numerators as per given numbers 7124/930, 6978/580 is
GCF of Numerators i.e. for 7124,6978 is 2
LCM of denominators i.e. for 930,580 is 53940.
Thus, GCF of Fractions is 2/53940.Finally, GCF of Fractions for 7124/930, 6978/580 is 2/53940.