How to Find GCF of 1468/868, 3520/8606?

GCF of 1468/868, 3520/8606

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 1468/868, 3520/8606 i.e 4/3735004 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1468/868, 3520/8606.

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 1468/868,3520/8606?

Given fractions are 1468/868,3520/8606

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 1468/868,3520/8606, numerators are 1468,3520

Denominators are 868,8606

The GCF of 1468,3520 is 4 .

LCM of 868,8606 is 3735004.

The greatest common factor of 1468/868,3520/8606 = [GCF of 1468,3520]/[LCM of 868,8606]= 4/3735004

Therefore, the GCF of 1468/868,3520/8606 is 4/3735004.

Greatest Common Factor of 1468,3520

To find the highest common factor of 1468,3520, we have to find the factors of both numbers and list the highest common factor.

The factors of 1468 are 1, 2, 4, 367, 734, 1468

The factors of 3520 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 32, 40, 44, 55, 64, 80, 88, 110, 160, 176, 220, 320, 352, 440, 704, 880, 1760, 3520

The HCF of 1468,3520 is 4.

Lets's calculate GCF of 1468,3520

Greatest Common Factor (GCF) of 1468,3520 By Common Division

2	1468, 3520
2	734, 1760
	367, 880

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

Greatest Common Factor of 1468,3520 By Matching Biggest Common Factor Method

Now, list down the factors of 1468

1,2,4,367,734,1468

Now, list down the factors of 3520

1,2,4,5,8,10,11,16,20,22,32,40,44,55,64,80,88,110,160,176,220,320,352,440,704,880,1760,3520

Greatest Common Factor

We found the factors 1468,3520 . The biggest common factor number is the GCF number.
So the greatest common factor 1468,3520 is 4.

Lets's calculate LCM of 868,8606

Lowest Common Multiple of 868,8606 using Common Division

2	868, 8606
	434, 4303

∴ So the LCM of the given numbers is 2 x 434 x 4303 = 3735004

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/3735004

Therefore, the GCF of Fractions 1468/868,3520/8606 is 4/3735004

Least Common Multiple of 868,8606 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 868,8606 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(868,8606) = 2

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

GCF(868,8606) x common factors =2 x 1 = 2

LCM(868,8606) = ( 868 × 8606 ) / 2

LCM(868,8606) = 7470008 / 2

LCM(868,8606) = 3735004

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FAQs on GCF of Fractions of 1468/868, 3520/8606

1. What is the HCF of 1468,3520?

The HCF of 1468,3520 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 1468/868, 3520/8606?

Answer: GCF of Numerators as per given numbers 1468/868, 3520/8606 is

GCF of Numerators i.e. for 1468,3520 is 4

LCM of denominators i.e. for 868,8606 is 3735004.

Thus, GCF of Fractions is 4/3735004.Finally, GCF of Fractions for 1468/868, 3520/8606 is 4/3735004.