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GCF of 1011/469, 5029/6834

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 1011/469, 5029/6834 i.e 1/47838 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1011/469, 5029/6834.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 1011/469,5029/6834?

Given fractions are 1011/469,5029/6834

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 1011/469,5029/6834, numerators are 1011,5029

Denominators are 469,6834

The GCF of 1011,5029 is 1 .

LCM of 469,6834 is 47838.

The greatest common factor of 1011/469,5029/6834 = [GCF of 1011,5029]/[LCM of 469,6834]= 1/47838

Therefore, the GCF of 1011/469,5029/6834 is 1/47838.

Greatest Common Factor of 1011,5029

To find the highest common factor of 1011,5029, we have to find the factors of both numbers and list the highest common factor.

The factors of 1011 are 1, 3, 337, 1011

The factors of 5029 are 1, 47, 107, 5029

The HCF of 1011,5029 is 1.

Lets's calculate GCF of 1011,5029

Greatest Common Factor (GCF) of 1011,5029 By Common Division

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

Greatest Common Factor of 1011,5029 By Matching Biggest Common Factor Method

Greatest Common Factor of 1011,5029 By Matching Biggest Common Factor Method

Now, list down the factors of 1011

:

1,3,337,1011

Now, list down the factors of 5029

:

1,47,107,5029

Greatest Common Factor

We found the factors 1011,5029 . The biggest common factor number is the GCF number.
So the greatest common factor 1011,5029 is 1.

Lets's calculate LCM of 469,6834

Lowest Common Multiple of 469,6834 using Common Division

67 469, 6834
7, 102

∴ So the LCM of the given numbers is 67 x 7 x 102 = 47838

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/47838

Therefore, the GCF of Fractions 1011/469,5029/6834 is 1/47838

Least Common Multiple of 469,6834 with GCF Formula

Least Common Multiple of 469,6834 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 469,6834 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(469,6834) = 67

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

GCF(469,6834) x common factors =67 x 1 = 67

LCM(469,6834) = ( 469 × 6834 ) / 67

LCM(469,6834) = 3205146 / 67

LCM(469,6834) = 47838


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FAQs on GCF of Fractions of 1011/469, 5029/6834

1. What is the HCF of 1011,5029?

The HCF of 1011,5029 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 1011/469, 5029/6834?

Answer: GCF of Numerators as per given numbers 1011/469, 5029/6834 is

GCF of Numerators i.e. for 1011,5029 is 1

LCM of denominators i.e. for 469,6834 is 47838.

Thus, GCF of Fractions is 1/47838.Finally, GCF of Fractions for 1011/469, 5029/6834 is 1/47838.