How to Find GCF of 4528/207, 4208/8017?

GCF of 4528/207, 4208/8017

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 4528/207, 4208/8017 i.e 16/1659519 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4528/207, 4208/8017.

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 4528/207,4208/8017?

Given fractions are 4528/207,4208/8017

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 4528/207,4208/8017, numerators are 4528,4208

Denominators are 207,8017

The GCF of 4528,4208 is 16 .

LCM of 207,8017 is 1659519.

The greatest common factor of 4528/207,4208/8017 = [GCF of 4528,4208]/[LCM of 207,8017]= 16/1659519

Therefore, the GCF of 4528/207,4208/8017 is 16/1659519.

Greatest Common Factor of 4528,4208

To find the highest common factor of 4528,4208, we have to find the factors of both numbers and list the highest common factor.

The factors of 4528 are 1, 2, 4, 8, 16, 283, 566, 1132, 2264, 4528

The factors of 4208 are 1, 2, 4, 8, 16, 263, 526, 1052, 2104, 4208

The HCF of 4528,4208 is 16.

Lets's calculate GCF of 4528,4208

Greatest Common Factor (GCF) of 4528,4208 By Common Division

2	4528, 4208
2	2264, 2104
2	1132, 1052
2	566, 526
	283, 263

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Greatest Common Factor of 4528,4208 By Matching Biggest Common Factor Method

Now, list down the factors of 4528

1,2,4,8,16,283,566,1132,2264,4528

Now, list down the factors of 4208

1,2,4,8,16,263,526,1052,2104,4208

Greatest Common Factor

We found the factors 4528,4208 . The biggest common factor number is the GCF number.
So the greatest common factor 4528,4208 is 16.

Lets's calculate LCM of 207,8017

Lowest Common Multiple of 207,8017 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1659519

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/1659519

Therefore, the GCF of Fractions 4528/207,4208/8017 is 16/1659519

Least Common Multiple of 207,8017 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 207,8017 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(207,8017) = 1

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

GCF(207,8017) x common factors =1 x 1 = 1

LCM(207,8017) = ( 207 × 8017 ) / 1

LCM(207,8017) = 1659519 / 1

LCM(207,8017) = 1659519

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FAQs on GCF of Fractions of 4528/207, 4208/8017

1. What is the HCF of 4528,4208?

The HCF of 4528,4208 is 16

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 4528/207, 4208/8017?

Answer: GCF of Numerators as per given numbers 4528/207, 4208/8017 is

GCF of Numerators i.e. for 4528,4208 is 16

LCM of denominators i.e. for 207,8017 is 1659519.

Thus, GCF of Fractions is 16/1659519.Finally, GCF of Fractions for 4528/207, 4208/8017 is 16/1659519.