How to Find GCF of 95/560, 45/437, 669/104?

GCF of 95/560, 45/437, 669/104

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 95/560, 45/437, 669/104 i.e 1/3181360 easily. The following is the detailed procedure to determine the greatest common factor of fractions 95/560, 45/437, 669/104.

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 95/560,45/437,669/104?

Given fractions are 95/560,45/437,669/104

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 95/560,45/437,669/104, numerators are 95,45,669

Denominators are 560,437,104

The GCF of 95,45,669 is 1 .

LCM of 560,437,104 is 3181360.

The greatest common factor of 95/560,45/437,669/104 = [GCF of 95,45,669]/[LCM of 560,437,104]= 1/3181360

Therefore, the GCF of 95/560,45/437,669/104 is 1/3181360.

Greatest Common Factor of 95,45,669

To find the highest common factor of 95,45,669, we have to find the factors of both numbers and list the highest common factor.

The factors of 95 are 1, 5, 19, 95

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

The factors of 669 are 1, 3, 223, 669

The HCF of 95,45,669 is 1.

Lets's calculate GCF of 95,45,669

Greatest Common Factor (GCF) of 95,45,669 By Common Division

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

Greatest Common Factor of 95,45,669 By Matching Biggest Common Factor Method

Now, list down the factors of 95

1,5,19,95

Now, list down the factors of 45

1,3,5,9,15,45

Now, list down the factors of 669

1,3,223,669

Greatest Common Factor

We found the factors 95,45,669 . The biggest common factor number is the GCF number.
So the greatest common factor 95,45,669 is 1.

Lets's calculate LCM of 560,437,104

Lowest Common Multiple of 560,437,104 using Common Division

2	560, 437, 104
2	280, 437, 52
2	140, 437, 26
	70, 437, 13

∴ So the LCM of the given numbers is 2 x 2 x 2 x 70 x 437 x 13 = 3181360

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3181360

Therefore, the GCF of Fractions 95/560,45/437,669/104 is 1/3181360

Least Common Multiple of 560,437,104 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 560,437,104 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(560,437,104) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(560,437,104) x common factors =1 x 8 = 8

LCM(560,437,104) = ( 560 × 437 × 104 ) / 8

LCM(560,437,104) = 25450880 / 8

LCM(560,437,104) = 3181360

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FAQs on GCF of Fractions of 95/560, 45/437, 669/104

1. What is the HCF of 95,45,669?

The HCF of 95,45,669 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 95/560, 45/437, 669/104?

Answer: GCF of Numerators as per given numbers 95/560, 45/437, 669/104 is

GCF of Numerators i.e. for 95,45,669 is 1

LCM of denominators i.e. for 560,437,104 is 3181360.

Thus, GCF of Fractions is 1/3181360.Finally, GCF of Fractions for 95/560, 45/437, 669/104 is 1/3181360.