GCF of 6990/754, 4920/1907
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6990/754, 4920/1907 i.e 30/1437878 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6990/754, 4920/1907.
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 6990/754,4920/1907?
Given fractions are 6990/754,4920/1907
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 6990/754,4920/1907, numerators are 6990,4920
Denominators are 754,1907
The GCF of 6990,4920 is 30 .
LCM of 754,1907 is 1437878.
The greatest common factor of 6990/754,4920/1907 = [GCF of 6990,4920]/[LCM of 754,1907]= 30/1437878
Therefore, the GCF of 6990/754,4920/1907 is 30/1437878.
To find the highest common factor of 6990,4920, we have to find the factors of both numbers and list the highest common factor.
The factors of 6990 are 1, 2, 3, 5, 6, 10, 15, 30, 233, 466, 699, 1165, 1398, 2330, 3495, 6990
The factors of 4920 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 41, 60, 82, 120, 123, 164, 205, 246, 328, 410, 492, 615, 820, 984, 1230, 1640, 2460, 4920
The HCF of 6990,4920 is 30.
Lets's calculate GCF of 6990,4920
| 2 | 6990, 4920 |
| 3 | 3495, 2460 |
| 5 | 1165, 820 |
| 233, 164 |
∴ So the GCF of the given numbers is 2 x 3 x 5 = 30
Greatest Common Factor of 6990,4920 By Matching Biggest Common Factor Method
Now, list down the factors of 6990
:1,2,3,5,6,10,15,30,233,466,699,1165,1398,2330,3495,6990
Now, list down the factors of 4920
:1,2,3,4,5,6,8,10,12,15,20,24,30,40,41,60,82,120,123,164,205,246,328,410,492,615,820,984,1230,1640,2460,4920
Greatest Common Factor
We found the factors 6990,4920 . The biggest common factor number is the GCF number.
So the greatest common factor 6990,4920 is 30.
Lets's calculate LCM of 754,1907
Given numbers has no common factors except 1. So, there LCM is their product i.e 1437878
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 30/1437878
Therefore, the GCF of Fractions 6990/754,4920/1907 is 30/1437878
Least Common Multiple of 754,1907 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 754,1907 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(754,1907) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(754,1907) x common factors =1 x 1 = 1
LCM(754,1907) = ( 754 × 1907 ) / 1
LCM(754,1907) = 1437878 / 1
LCM(754,1907) = 1437878
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FAQs on GCF of Fractions of 6990/754, 4920/1907
1. What is the HCF of 6990,4920?
The HCF of 6990,4920 is 30
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 6990/754, 4920/1907?
Answer: GCF of Numerators as per given numbers 6990/754, 4920/1907 is
GCF of Numerators i.e. for 6990,4920 is 30
LCM of denominators i.e. for 754,1907 is 1437878.
Thus, GCF of Fractions is 30/1437878.Finally, GCF of Fractions for 6990/754, 4920/1907 is 30/1437878.