GCF of 7460/946, 2640/6611
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7460/946, 2640/6611 i.e 20/568546 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7460/946, 2640/6611.
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 7460/946,2640/6611?
Given fractions are 7460/946,2640/6611
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 7460/946,2640/6611, numerators are 7460,2640
Denominators are 946,6611
The GCF of 7460,2640 is 20 .
LCM of 946,6611 is 568546.
The greatest common factor of 7460/946,2640/6611 = [GCF of 7460,2640]/[LCM of 946,6611]= 20/568546
Therefore, the GCF of 7460/946,2640/6611 is 20/568546.
To find the highest common factor of 7460,2640, we have to find the factors of both numbers and list the highest common factor.
The factors of 7460 are 1, 2, 4, 5, 10, 20, 373, 746, 1492, 1865, 3730, 7460
The factors of 2640 are 1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 16, 20, 22, 24, 30, 33, 40, 44, 48, 55, 60, 66, 80, 88, 110, 120, 132, 165, 176, 220, 240, 264, 330, 440, 528, 660, 880, 1320, 2640
The HCF of 7460,2640 is 20.
Lets's calculate GCF of 7460,2640
| 2 | 7460, 2640 |
| 2 | 3730, 1320 |
| 5 | 1865, 660 |
| 373, 132 |
∴ So the GCF of the given numbers is 2 x 2 x 5 = 20
Greatest Common Factor of 7460,2640 By Matching Biggest Common Factor Method
Now, list down the factors of 7460
:1,2,4,5,10,20,373,746,1492,1865,3730,7460
Now, list down the factors of 2640
:1,2,3,4,5,6,8,10,11,12,15,16,20,22,24,30,33,40,44,48,55,60,66,80,88,110,120,132,165,176,220,240,264,330,440,528,660,880,1320,2640
Greatest Common Factor
We found the factors 7460,2640 . The biggest common factor number is the GCF number.
So the greatest common factor 7460,2640 is 20.
Lets's calculate LCM of 946,6611
| 11 | 946, 6611 |
| 86, 601 |
∴ So the LCM of the given numbers is 11 x 86 x 601 = 568546
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/568546
Therefore, the GCF of Fractions 7460/946,2640/6611 is 20/568546
Least Common Multiple of 946,6611 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 946,6611 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(946,6611) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(946,6611) x common factors =11 x 1 = 11
LCM(946,6611) = ( 946 × 6611 ) / 11
LCM(946,6611) = 6254006 / 11
LCM(946,6611) = 568546
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 7460/946, 2640/6611
1. What is the HCF of 7460,2640?
The HCF of 7460,2640 is 20
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 7460/946, 2640/6611?
Answer: GCF of Numerators as per given numbers 7460/946, 2640/6611 is
GCF of Numerators i.e. for 7460,2640 is 20
LCM of denominators i.e. for 946,6611 is 568546.
Thus, GCF of Fractions is 20/568546.Finally, GCF of Fractions for 7460/946, 2640/6611 is 20/568546.