How to Find GCF of 4243/700, 3588/3620?

GCF of 4243/700, 3588/3620

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 4243/700, 3588/3620 i.e 1/126700 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4243/700, 3588/3620.

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 4243/700,3588/3620?

Given fractions are 4243/700,3588/3620

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 4243/700,3588/3620, numerators are 4243,3588

Denominators are 700,3620

The GCF of 4243,3588 is 1 .

LCM of 700,3620 is 126700.

The greatest common factor of 4243/700,3588/3620 = [GCF of 4243,3588]/[LCM of 700,3620]= 1/126700

Therefore, the GCF of 4243/700,3588/3620 is 1/126700.

Greatest Common Factor of 4243,3588

To find the highest common factor of 4243,3588, we have to find the factors of both numbers and list the highest common factor.

The factors of 4243 are 1, 4243

The factors of 3588 are 1, 2, 3, 4, 6, 12, 13, 23, 26, 39, 46, 52, 69, 78, 92, 138, 156, 276, 299, 598, 897, 1196, 1794, 3588

The HCF of 4243,3588 is 1.

Lets's calculate GCF of 4243,3588

Greatest Common Factor (GCF) of 4243,3588 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 4243,3588 By Matching Biggest Common Factor Method

Now, list down the factors of 4243

1,4243

Now, list down the factors of 3588

1,2,3,4,6,12,13,23,26,39,46,52,69,78,92,138,156,276,299,598,897,1196,1794,3588

Greatest Common Factor

We found the factors 4243,3588 . The biggest common factor number is the GCF number.
So the greatest common factor 4243,3588 is 1.

Lets's calculate LCM of 700,3620

Lowest Common Multiple of 700,3620 using Common Division

2	700, 3620
2	350, 1810
5	175, 905
	35, 181

∴ So the LCM of the given numbers is 2 x 2 x 5 x 35 x 181 = 126700

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/126700

Therefore, the GCF of Fractions 4243/700,3588/3620 is 1/126700

Least Common Multiple of 700,3620 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 700,3620 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(700,3620) = 20

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

GCF(700,3620) x common factors =20 x 1 = 20

LCM(700,3620) = ( 700 × 3620 ) / 20

LCM(700,3620) = 2534000 / 20

LCM(700,3620) = 126700

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 4243/700, 3588/3620

1. What is the HCF of 4243,3588?

The HCF of 4243,3588 is 1

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 4243/700, 3588/3620?

Answer: GCF of Numerators as per given numbers 4243/700, 3588/3620 is

GCF of Numerators i.e. for 4243,3588 is 1

LCM of denominators i.e. for 700,3620 is 126700.

Thus, GCF of Fractions is 1/126700.Finally, GCF of Fractions for 4243/700, 3588/3620 is 1/126700.