How to Find GCF of 1430/224, 1151/6766?

GCF of 1430/224, 1151/6766

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 1430/224, 1151/6766 i.e 1/757792 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1430/224, 1151/6766.

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 1430/224,1151/6766?

Given fractions are 1430/224,1151/6766

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 1430/224,1151/6766, numerators are 1430,1151

Denominators are 224,6766

The GCF of 1430,1151 is 1 .

LCM of 224,6766 is 757792.

The greatest common factor of 1430/224,1151/6766 = [GCF of 1430,1151]/[LCM of 224,6766]= 1/757792

Therefore, the GCF of 1430/224,1151/6766 is 1/757792.

Greatest Common Factor of 1430,1151

To find the highest common factor of 1430,1151, we have to find the factors of both numbers and list the highest common factor.

The factors of 1430 are 1, 2, 5, 10, 11, 13, 22, 26, 55, 65, 110, 130, 143, 286, 715, 1430

The factors of 1151 are 1, 1151

The HCF of 1430,1151 is 1.

Lets's calculate GCF of 1430,1151

Greatest Common Factor (GCF) of 1430,1151 By Common Division

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

Greatest Common Factor of 1430,1151 By Matching Biggest Common Factor Method

Now, list down the factors of 1430

1,2,5,10,11,13,22,26,55,65,110,130,143,286,715,1430

Now, list down the factors of 1151

1,1151

Greatest Common Factor

We found the factors 1430,1151 . The biggest common factor number is the GCF number.
So the greatest common factor 1430,1151 is 1.

Lets's calculate LCM of 224,6766

Lowest Common Multiple of 224,6766 using Common Division

2	224, 6766
	112, 3383

∴ So the LCM of the given numbers is 2 x 112 x 3383 = 757792

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/757792

Therefore, the GCF of Fractions 1430/224,1151/6766 is 1/757792

Least Common Multiple of 224,6766 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 224,6766 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(224,6766) = 2

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

GCF(224,6766) x common factors =2 x 1 = 2

LCM(224,6766) = ( 224 × 6766 ) / 2

LCM(224,6766) = 1515584 / 2

LCM(224,6766) = 757792

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FAQs on GCF of Fractions of 1430/224, 1151/6766

1. What is the HCF of 1430,1151?

The HCF of 1430,1151 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 1430/224, 1151/6766?

Answer: GCF of Numerators as per given numbers 1430/224, 1151/6766 is

GCF of Numerators i.e. for 1430,1151 is 1

LCM of denominators i.e. for 224,6766 is 757792.

Thus, GCF of Fractions is 1/757792.Finally, GCF of Fractions for 1430/224, 1151/6766 is 1/757792.