GCF of 2720/498, 3884/1688
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2720/498, 3884/1688 i.e 4/420312 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2720/498, 3884/1688.
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 2720/498,3884/1688?
Given fractions are 2720/498,3884/1688
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 2720/498,3884/1688, numerators are 2720,3884
Denominators are 498,1688
The GCF of 2720,3884 is 4 .
LCM of 498,1688 is 420312.
The greatest common factor of 2720/498,3884/1688 = [GCF of 2720,3884]/[LCM of 498,1688]= 4/420312
Therefore, the GCF of 2720/498,3884/1688 is 4/420312.
To find the highest common factor of 2720,3884, we have to find the factors of both numbers and list the highest common factor.
The factors of 2720 are 1, 2, 4, 5, 8, 10, 16, 17, 20, 32, 34, 40, 68, 80, 85, 136, 160, 170, 272, 340, 544, 680, 1360, 2720
The factors of 3884 are 1, 2, 4, 971, 1942, 3884
The HCF of 2720,3884 is 4.
Lets's calculate GCF of 2720,3884
| 2 | 2720, 3884 |
| 2 | 1360, 1942 |
| 680, 971 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 2720,3884 By Matching Biggest Common Factor Method
Now, list down the factors of 2720
:1,2,4,5,8,10,16,17,20,32,34,40,68,80,85,136,160,170,272,340,544,680,1360,2720
Now, list down the factors of 3884
:1,2,4,971,1942,3884
Greatest Common Factor
We found the factors 2720,3884 . The biggest common factor number is the GCF number.
So the greatest common factor 2720,3884 is 4.
Lets's calculate LCM of 498,1688
| 2 | 498, 1688 |
| 249, 844 |
∴ So the LCM of the given numbers is 2 x 249 x 844 = 420312
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/420312
Therefore, the GCF of Fractions 2720/498,3884/1688 is 4/420312
Least Common Multiple of 498,1688 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 498,1688 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(498,1688) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(498,1688) x common factors =2 x 1 = 2
LCM(498,1688) = ( 498 × 1688 ) / 2
LCM(498,1688) = 840624 / 2
LCM(498,1688) = 420312
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FAQs on GCF of Fractions of 2720/498, 3884/1688
1. What is the HCF of 2720,3884?
The HCF of 2720,3884 is 4
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 2720/498, 3884/1688?
Answer: GCF of Numerators as per given numbers 2720/498, 3884/1688 is
GCF of Numerators i.e. for 2720,3884 is 4
LCM of denominators i.e. for 498,1688 is 420312.
Thus, GCF of Fractions is 4/420312.Finally, GCF of Fractions for 2720/498, 3884/1688 is 4/420312.