How to Find GCF of 17/224, 71/685, 651/102?

GCF of 17/224, 71/685, 651/102

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 17/224, 71/685, 651/102 i.e 1/7825440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 17/224, 71/685, 651/102.

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 17/224,71/685,651/102?

Given fractions are 17/224,71/685,651/102

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 17/224,71/685,651/102, numerators are 17,71,651

Denominators are 224,685,102

The GCF of 17,71,651 is 1 .

LCM of 224,685,102 is 7825440.

The greatest common factor of 17/224,71/685,651/102 = [GCF of 17,71,651]/[LCM of 224,685,102]= 1/7825440

Therefore, the GCF of 17/224,71/685,651/102 is 1/7825440.

Greatest Common Factor of 17,71,651

To find the highest common factor of 17,71,651, we have to find the factors of both numbers and list the highest common factor.

The factors of 17 are 1, 17

The factors of 71 are 1, 71

The factors of 651 are 1, 3, 7, 21, 31, 93, 217, 651

The HCF of 17,71,651 is 1.

Lets's calculate GCF of 17,71,651

Greatest Common Factor (GCF) of 17,71,651 By Common Division

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

Greatest Common Factor of 17,71,651 By Matching Biggest Common Factor Method

Now, list down the factors of 17

1,17

Now, list down the factors of 71

1,71

Now, list down the factors of 651

1,3,7,21,31,93,217,651

Greatest Common Factor

We found the factors 17,71,651 . The biggest common factor number is the GCF number.
So the greatest common factor 17,71,651 is 1.

Lets's calculate LCM of 224,685,102

Lowest Common Multiple of 224,685,102 using Common Division

2	224, 685, 102
	112, 685, 51

∴ So the LCM of the given numbers is 2 x 112 x 685 x 51 = 7825440

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7825440

Therefore, the GCF of Fractions 17/224,71/685,651/102 is 1/7825440

Least Common Multiple of 224,685,102 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 224,685,102 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(224,685,102) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(224,685,102) x common factors =1 x 2 = 2

LCM(224,685,102) = ( 224 × 685 × 102 ) / 2

LCM(224,685,102) = 15650880 / 2

LCM(224,685,102) = 7825440

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 17/224, 71/685, 651/102

1. What is the HCF of 17,71,651?

The HCF of 17,71,651 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 17/224, 71/685, 651/102?

Answer: GCF of Numerators as per given numbers 17/224, 71/685, 651/102 is

GCF of Numerators i.e. for 17,71,651 is 1

LCM of denominators i.e. for 224,685,102 is 7825440.

Thus, GCF of Fractions is 1/7825440.Finally, GCF of Fractions for 17/224, 71/685, 651/102 is 1/7825440.