How to Find GCF of 2033/614, 8208/273?

GCF of 2033/614, 8208/273

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 2033/614, 8208/273 i.e 19/167622 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2033/614, 8208/273.

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 2033/614,8208/273?

Given fractions are 2033/614,8208/273

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 2033/614,8208/273, numerators are 2033,8208

Denominators are 614,273

The GCF of 2033,8208 is 19 .

LCM of 614,273 is 167622.

The greatest common factor of 2033/614,8208/273 = [GCF of 2033,8208]/[LCM of 614,273]= 19/167622

Therefore, the GCF of 2033/614,8208/273 is 19/167622.

Greatest Common Factor of 2033,8208

To find the highest common factor of 2033,8208, we have to find the factors of both numbers and list the highest common factor.

The factors of 2033 are 1, 19, 107, 2033

The factors of 8208 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 19, 24, 27, 36, 38, 48, 54, 57, 72, 76, 108, 114, 144, 152, 171, 216, 228, 304, 342, 432, 456, 513, 684, 912, 1026, 1368, 2052, 2736, 4104, 8208

The HCF of 2033,8208 is 19.

Lets's calculate GCF of 2033,8208

Greatest Common Factor (GCF) of 2033,8208 By Common Division

19	2033, 8208
	107, 432

∴ So the GCF of the given numbers is 19 = 19

Greatest Common Factor of 2033,8208 By Matching Biggest Common Factor Method

Now, list down the factors of 2033

1,19,107,2033

Now, list down the factors of 8208

1,2,3,4,6,8,9,12,16,18,19,24,27,36,38,48,54,57,72,76,108,114,144,152,171,216,228,304,342,432,456,513,684,912,1026,1368,2052,2736,4104,8208

Greatest Common Factor

We found the factors 2033,8208 . The biggest common factor number is the GCF number.
So the greatest common factor 2033,8208 is 19.

Lets's calculate LCM of 614,273

Lowest Common Multiple of 614,273 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 167622

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/167622

Therefore, the GCF of Fractions 2033/614,8208/273 is 19/167622

Least Common Multiple of 614,273 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 614,273 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(614,273) = 1

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

GCF(614,273) x common factors =1 x 1 = 1

LCM(614,273) = ( 614 × 273 ) / 1

LCM(614,273) = 167622 / 1

LCM(614,273) = 167622

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FAQs on GCF of Fractions of 2033/614, 8208/273

1. What is the HCF of 2033,8208?

The HCF of 2033,8208 is 19

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 2033/614, 8208/273?

Answer: GCF of Numerators as per given numbers 2033/614, 8208/273 is

GCF of Numerators i.e. for 2033,8208 is 19

LCM of denominators i.e. for 614,273 is 167622.

Thus, GCF of Fractions is 19/167622.Finally, GCF of Fractions for 2033/614, 8208/273 is 19/167622.