GCF of 2660/924, 7470/488
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2660/924, 7470/488 i.e 10/112728 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2660/924, 7470/488.
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 2660/924,7470/488?
Given fractions are 2660/924,7470/488
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 2660/924,7470/488, numerators are 2660,7470
Denominators are 924,488
The GCF of 2660,7470 is 10 .
LCM of 924,488 is 112728.
The greatest common factor of 2660/924,7470/488 = [GCF of 2660,7470]/[LCM of 924,488]= 10/112728
Therefore, the GCF of 2660/924,7470/488 is 10/112728.
To find the highest common factor of 2660,7470, we have to find the factors of both numbers and list the highest common factor.
The factors of 2660 are 1, 2, 4, 5, 7, 10, 14, 19, 20, 28, 35, 38, 70, 76, 95, 133, 140, 190, 266, 380, 532, 665, 1330, 2660
The factors of 7470 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 83, 90, 166, 249, 415, 498, 747, 830, 1245, 1494, 2490, 3735, 7470
The HCF of 2660,7470 is 10.
Lets's calculate GCF of 2660,7470
| 2 | 2660, 7470 |
| 5 | 1330, 3735 |
| 266, 747 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 2660,7470 By Matching Biggest Common Factor Method
Now, list down the factors of 2660
:1,2,4,5,7,10,14,19,20,28,35,38,70,76,95,133,140,190,266,380,532,665,1330,2660
Now, list down the factors of 7470
:1,2,3,5,6,9,10,15,18,30,45,83,90,166,249,415,498,747,830,1245,1494,2490,3735,7470
Greatest Common Factor
We found the factors 2660,7470 . The biggest common factor number is the GCF number.
So the greatest common factor 2660,7470 is 10.
Lets's calculate LCM of 924,488
| 2 | 924, 488 |
| 2 | 462, 244 |
| 231, 122 |
∴ So the LCM of the given numbers is 2 x 2 x 231 x 122 = 112728
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/112728
Therefore, the GCF of Fractions 2660/924,7470/488 is 10/112728
Least Common Multiple of 924,488 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 924,488 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(924,488) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(924,488) x common factors =4 x 1 = 4
LCM(924,488) = ( 924 × 488 ) / 4
LCM(924,488) = 450912 / 4
LCM(924,488) = 112728
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FAQs on GCF of Fractions of 2660/924, 7470/488
1. What is the HCF of 2660,7470?
The HCF of 2660,7470 is 10
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 2660/924, 7470/488?
Answer: GCF of Numerators as per given numbers 2660/924, 7470/488 is
GCF of Numerators i.e. for 2660,7470 is 10
LCM of denominators i.e. for 924,488 is 112728.
Thus, GCF of Fractions is 10/112728.Finally, GCF of Fractions for 2660/924, 7470/488 is 10/112728.