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GCF of 45/911, 3027/7082

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 45/911, 3027/7082 i.e 3/6451702 easily. The following is the detailed procedure to determine the greatest common factor of fractions 45/911, 3027/7082.

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 45/911,3027/7082?

Given fractions are 45/911,3027/7082

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 45/911,3027/7082, numerators are 45,3027

Denominators are 911,7082

The GCF of 45,3027 is 3 .

LCM of 911,7082 is 6451702.

The greatest common factor of 45/911,3027/7082 = [GCF of 45,3027]/[LCM of 911,7082]= 3/6451702

Therefore, the GCF of 45/911,3027/7082 is 3/6451702.

Greatest Common Factor of 45,3027

To find the highest common factor of 45,3027, we have to find the factors of both numbers and list the highest common factor.

The factors of 45 are 1, 3, 5, 9, 15, 45

The factors of 3027 are 1, 3, 1009, 3027

The HCF of 45,3027 is 3.

Lets's calculate GCF of 45,3027

Greatest Common Factor (GCF) of 45,3027 By Common Division

3 45, 3027
15, 1009

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 45,3027 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,3027 By Matching Biggest Common Factor Method

Now, list down the factors of 45

:

1,3,5,9,15,45

Now, list down the factors of 3027

:

1,3,1009,3027

Greatest Common Factor

We found the factors 45,3027 . The biggest common factor number is the GCF number.
So the greatest common factor 45,3027 is 3.

Lets's calculate LCM of 911,7082

Lowest Common Multiple of 911,7082 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6451702

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/6451702

Therefore, the GCF of Fractions 45/911,3027/7082 is 3/6451702

Least Common Multiple of 911,7082 with GCF Formula

Least Common Multiple of 911,7082 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 911,7082 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(911,7082) = 1

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

GCF(911,7082) x common factors =1 x 1 = 1

LCM(911,7082) = ( 911 × 7082 ) / 1

LCM(911,7082) = 6451702 / 1

LCM(911,7082) = 6451702


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FAQs on GCF of Fractions of 45/911, 3027/7082

1. What is the HCF of 45,3027?

The HCF of 45,3027 is 3

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 45/911, 3027/7082?

Answer: GCF of Numerators as per given numbers 45/911, 3027/7082 is

GCF of Numerators i.e. for 45,3027 is 3

LCM of denominators i.e. for 911,7082 is 6451702.

Thus, GCF of Fractions is 3/6451702.Finally, GCF of Fractions for 45/911, 3027/7082 is 3/6451702.