How to Find GCF of 5814/567, 1007/719?

GCF of 5814/567, 1007/719

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 5814/567, 1007/719 i.e 19/407673 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5814/567, 1007/719.

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 5814/567,1007/719?

Given fractions are 5814/567,1007/719

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 5814/567,1007/719, numerators are 5814,1007

Denominators are 567,719

The GCF of 5814,1007 is 19 .

LCM of 567,719 is 407673.

The greatest common factor of 5814/567,1007/719 = [GCF of 5814,1007]/[LCM of 567,719]= 19/407673

Therefore, the GCF of 5814/567,1007/719 is 19/407673.

Greatest Common Factor of 5814,1007

To find the highest common factor of 5814,1007, we have to find the factors of both numbers and list the highest common factor.

The factors of 5814 are 1, 2, 3, 6, 9, 17, 18, 19, 34, 38, 51, 57, 102, 114, 153, 171, 306, 323, 342, 646, 969, 1938, 2907, 5814

The factors of 1007 are 1, 19, 53, 1007

The HCF of 5814,1007 is 19.

Lets's calculate GCF of 5814,1007

Greatest Common Factor (GCF) of 5814,1007 By Common Division

19	5814, 1007
	306, 53

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

Greatest Common Factor of 5814,1007 By Matching Biggest Common Factor Method

Now, list down the factors of 5814

1,2,3,6,9,17,18,19,34,38,51,57,102,114,153,171,306,323,342,646,969,1938,2907,5814

Now, list down the factors of 1007

1,19,53,1007

Greatest Common Factor

We found the factors 5814,1007 . The biggest common factor number is the GCF number.
So the greatest common factor 5814,1007 is 19.

Lets's calculate LCM of 567,719

Lowest Common Multiple of 567,719 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 407673

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/407673

Therefore, the GCF of Fractions 5814/567,1007/719 is 19/407673

Least Common Multiple of 567,719 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 567,719 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(567,719) = 1

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

GCF(567,719) x common factors =1 x 1 = 1

LCM(567,719) = ( 567 × 719 ) / 1

LCM(567,719) = 407673 / 1

LCM(567,719) = 407673

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FAQs on GCF of Fractions of 5814/567, 1007/719

1. What is the HCF of 5814,1007?

The HCF of 5814,1007 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 5814/567, 1007/719?

Answer: GCF of Numerators as per given numbers 5814/567, 1007/719 is

GCF of Numerators i.e. for 5814,1007 is 19

LCM of denominators i.e. for 567,719 is 407673.

Thus, GCF of Fractions is 19/407673.Finally, GCF of Fractions for 5814/567, 1007/719 is 19/407673.