How to Find GCF of 43/85, 545/94, 105/688?

GCF of 43/85, 545/94, 105/688

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 43/85, 545/94, 105/688 i.e 1/2748560 easily. The following is the detailed procedure to determine the greatest common factor of fractions 43/85, 545/94, 105/688.

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 43/85,545/94,105/688?

Given fractions are 43/85,545/94,105/688

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 43/85,545/94,105/688, numerators are 43,545,105

Denominators are 85,94,688

The GCF of 43,545,105 is 1 .

LCM of 85,94,688 is 2748560.

The greatest common factor of 43/85,545/94,105/688 = [GCF of 43,545,105]/[LCM of 85,94,688]= 1/2748560

Therefore, the GCF of 43/85,545/94,105/688 is 1/2748560.

Greatest Common Factor of 43,545,105

To find the highest common factor of 43,545,105, we have to find the factors of both numbers and list the highest common factor.

The factors of 43 are 1, 43

The factors of 545 are 1, 5, 109, 545

The factors of 105 are 1, 3, 5, 7, 15, 21, 35, 105

The HCF of 43,545,105 is 1.

Lets's calculate GCF of 43,545,105

Greatest Common Factor (GCF) of 43,545,105 By Common Division

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

Greatest Common Factor of 43,545,105 By Matching Biggest Common Factor Method

Now, list down the factors of 43

1,43

Now, list down the factors of 545

1,5,109,545

Now, list down the factors of 105

1,3,5,7,15,21,35,105

Greatest Common Factor

We found the factors 43,545,105 . The biggest common factor number is the GCF number.
So the greatest common factor 43,545,105 is 1.

Lets's calculate LCM of 85,94,688

Lowest Common Multiple of 85,94,688 using Common Division

2	85, 94, 688
	85, 47, 344

∴ So the LCM of the given numbers is 2 x 85 x 47 x 344 = 2748560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2748560

Therefore, the GCF of Fractions 43/85,545/94,105/688 is 1/2748560

Least Common Multiple of 85,94,688 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 85,94,688 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,94,688) = 1

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

GCF(85,94,688) x common factors =1 x 2 = 2

LCM(85,94,688) = ( 85 × 94 × 688 ) / 2

LCM(85,94,688) = 5497120 / 2

LCM(85,94,688) = 2748560

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FAQs on GCF of Fractions of 43/85, 545/94, 105/688

1. What is the HCF of 43,545,105?

The HCF of 43,545,105 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 43/85, 545/94, 105/688?

Answer: GCF of Numerators as per given numbers 43/85, 545/94, 105/688 is

GCF of Numerators i.e. for 43,545,105 is 1

LCM of denominators i.e. for 85,94,688 is 2748560.

Thus, GCF of Fractions is 1/2748560.Finally, GCF of Fractions for 43/85, 545/94, 105/688 is 1/2748560.