How to Find GCF of 4616/122, 3720/3465?

GCF of 4616/122, 3720/3465

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 4616/122, 3720/3465 i.e 8/422730 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4616/122, 3720/3465.

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 4616/122,3720/3465?

Given fractions are 4616/122,3720/3465

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 4616/122,3720/3465, numerators are 4616,3720

Denominators are 122,3465

The GCF of 4616,3720 is 8 .

LCM of 122,3465 is 422730.

The greatest common factor of 4616/122,3720/3465 = [GCF of 4616,3720]/[LCM of 122,3465]= 8/422730

Therefore, the GCF of 4616/122,3720/3465 is 8/422730.

Greatest Common Factor of 4616,3720

To find the highest common factor of 4616,3720, we have to find the factors of both numbers and list the highest common factor.

The factors of 4616 are 1, 2, 4, 8, 577, 1154, 2308, 4616

The factors of 3720 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 31, 40, 60, 62, 93, 120, 124, 155, 186, 248, 310, 372, 465, 620, 744, 930, 1240, 1860, 3720

The HCF of 4616,3720 is 8.

Lets's calculate GCF of 4616,3720

Greatest Common Factor (GCF) of 4616,3720 By Common Division

2	4616, 3720
2	2308, 1860
2	1154, 930
	577, 465

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 4616,3720 By Matching Biggest Common Factor Method

Now, list down the factors of 4616

1,2,4,8,577,1154,2308,4616

Now, list down the factors of 3720

1,2,3,4,5,6,8,10,12,15,20,24,30,31,40,60,62,93,120,124,155,186,248,310,372,465,620,744,930,1240,1860,3720

Greatest Common Factor

We found the factors 4616,3720 . The biggest common factor number is the GCF number.
So the greatest common factor 4616,3720 is 8.

Lets's calculate LCM of 122,3465

Lowest Common Multiple of 122,3465 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 422730

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/422730

Therefore, the GCF of Fractions 4616/122,3720/3465 is 8/422730

Least Common Multiple of 122,3465 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 122,3465 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(122,3465) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(122,3465) x common factors =1 x 1 = 1

LCM(122,3465) = ( 122 × 3465 ) / 1

LCM(122,3465) = 422730 / 1

LCM(122,3465) = 422730

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FAQs on GCF of Fractions of 4616/122, 3720/3465

1. What is the HCF of 4616,3720?

The HCF of 4616,3720 is 8

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 4616/122, 3720/3465?

Answer: GCF of Numerators as per given numbers 4616/122, 3720/3465 is

GCF of Numerators i.e. for 4616,3720 is 8

LCM of denominators i.e. for 122,3465 is 422730.

Thus, GCF of Fractions is 8/422730.Finally, GCF of Fractions for 4616/122, 3720/3465 is 8/422730.