GCF of 3088/157, 4420/3862
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3088/157, 4420/3862 i.e 4/606334 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3088/157, 4420/3862.
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 3088/157,4420/3862?
Given fractions are 3088/157,4420/3862
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 3088/157,4420/3862, numerators are 3088,4420
Denominators are 157,3862
The GCF of 3088,4420 is 4 .
LCM of 157,3862 is 606334.
The greatest common factor of 3088/157,4420/3862 = [GCF of 3088,4420]/[LCM of 157,3862]= 4/606334
Therefore, the GCF of 3088/157,4420/3862 is 4/606334.
To find the highest common factor of 3088,4420, we have to find the factors of both numbers and list the highest common factor.
The factors of 3088 are 1, 2, 4, 8, 16, 193, 386, 772, 1544, 3088
The factors of 4420 are 1, 2, 4, 5, 10, 13, 17, 20, 26, 34, 52, 65, 68, 85, 130, 170, 221, 260, 340, 442, 884, 1105, 2210, 4420
The HCF of 3088,4420 is 4.
Lets's calculate GCF of 3088,4420
| 2 | 3088, 4420 |
| 2 | 1544, 2210 |
| 772, 1105 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 3088,4420 By Matching Biggest Common Factor Method
Now, list down the factors of 3088
:1,2,4,8,16,193,386,772,1544,3088
Now, list down the factors of 4420
:1,2,4,5,10,13,17,20,26,34,52,65,68,85,130,170,221,260,340,442,884,1105,2210,4420
Greatest Common Factor
We found the factors 3088,4420 . The biggest common factor number is the GCF number.
So the greatest common factor 3088,4420 is 4.
Lets's calculate LCM of 157,3862
Given numbers has no common factors except 1. So, there LCM is their product i.e 606334
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/606334
Therefore, the GCF of Fractions 3088/157,4420/3862 is 4/606334
Least Common Multiple of 157,3862 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 157,3862 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(157,3862) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(157,3862) x common factors =1 x 1 = 1
LCM(157,3862) = ( 157 × 3862 ) / 1
LCM(157,3862) = 606334 / 1
LCM(157,3862) = 606334
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FAQs on GCF of Fractions of 3088/157, 4420/3862
1. What is the HCF of 3088,4420?
The HCF of 3088,4420 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 3088/157, 4420/3862?
Answer: GCF of Numerators as per given numbers 3088/157, 4420/3862 is
GCF of Numerators i.e. for 3088,4420 is 4
LCM of denominators i.e. for 157,3862 is 606334.
Thus, GCF of Fractions is 4/606334.Finally, GCF of Fractions for 3088/157, 4420/3862 is 4/606334.