How to Find GCF of 3868/860, 5892/4684?

GCF of 3868/860, 5892/4684

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 3868/860, 5892/4684 i.e 4/1007060 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3868/860, 5892/4684.

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 3868/860,5892/4684?

Given fractions are 3868/860,5892/4684

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 3868/860,5892/4684, numerators are 3868,5892

Denominators are 860,4684

The GCF of 3868,5892 is 4 .

LCM of 860,4684 is 1007060.

The greatest common factor of 3868/860,5892/4684 = [GCF of 3868,5892]/[LCM of 860,4684]= 4/1007060

Therefore, the GCF of 3868/860,5892/4684 is 4/1007060.

Greatest Common Factor of 3868,5892

To find the highest common factor of 3868,5892, we have to find the factors of both numbers and list the highest common factor.

The factors of 3868 are 1, 2, 4, 967, 1934, 3868

The factors of 5892 are 1, 2, 3, 4, 6, 12, 491, 982, 1473, 1964, 2946, 5892

The HCF of 3868,5892 is 4.

Lets's calculate GCF of 3868,5892

Greatest Common Factor (GCF) of 3868,5892 By Common Division

2	3868, 5892
2	1934, 2946
	967, 1473

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 3868,5892 By Matching Biggest Common Factor Method

Now, list down the factors of 3868

1,2,4,967,1934,3868

Now, list down the factors of 5892

1,2,3,4,6,12,491,982,1473,1964,2946,5892

Greatest Common Factor

We found the factors 3868,5892 . The biggest common factor number is the GCF number.
So the greatest common factor 3868,5892 is 4.

Lets's calculate LCM of 860,4684

Lowest Common Multiple of 860,4684 using Common Division

2	860, 4684
2	430, 2342
	215, 1171

∴ So the LCM of the given numbers is 2 x 2 x 215 x 1171 = 1007060

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1007060

Therefore, the GCF of Fractions 3868/860,5892/4684 is 4/1007060

Least Common Multiple of 860,4684 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 860,4684 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(860,4684) = 4

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

GCF(860,4684) x common factors =4 x 1 = 4

LCM(860,4684) = ( 860 × 4684 ) / 4

LCM(860,4684) = 4028240 / 4

LCM(860,4684) = 1007060

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FAQs on GCF of Fractions of 3868/860, 5892/4684

1. What is the HCF of 3868,5892?

The HCF of 3868,5892 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 3868/860, 5892/4684?

Answer: GCF of Numerators as per given numbers 3868/860, 5892/4684 is

GCF of Numerators i.e. for 3868,5892 is 4

LCM of denominators i.e. for 860,4684 is 1007060.

Thus, GCF of Fractions is 4/1007060.Finally, GCF of Fractions for 3868/860, 5892/4684 is 4/1007060.