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GCF of 1745/554, 4195/7054

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 1745/554, 4195/7054 i.e 5/1953958 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1745/554, 4195/7054.

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 1745/554,4195/7054?

Given fractions are 1745/554,4195/7054

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 1745/554,4195/7054, numerators are 1745,4195

Denominators are 554,7054

The GCF of 1745,4195 is 5 .

LCM of 554,7054 is 1953958.

The greatest common factor of 1745/554,4195/7054 = [GCF of 1745,4195]/[LCM of 554,7054]= 5/1953958

Therefore, the GCF of 1745/554,4195/7054 is 5/1953958.

Greatest Common Factor of 1745,4195

To find the highest common factor of 1745,4195, we have to find the factors of both numbers and list the highest common factor.

The factors of 1745 are 1, 5, 349, 1745

The factors of 4195 are 1, 5, 839, 4195

The HCF of 1745,4195 is 5.

Lets's calculate GCF of 1745,4195

Greatest Common Factor (GCF) of 1745,4195 By Common Division

5 1745, 4195
349, 839

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 1745,4195 By Matching Biggest Common Factor Method

Greatest Common Factor of 1745,4195 By Matching Biggest Common Factor Method

Now, list down the factors of 1745

:

1,5,349,1745

Now, list down the factors of 4195

:

1,5,839,4195

Greatest Common Factor

We found the factors 1745,4195 . The biggest common factor number is the GCF number.
So the greatest common factor 1745,4195 is 5.

Lets's calculate LCM of 554,7054

Lowest Common Multiple of 554,7054 using Common Division

2 554, 7054
277, 3527

∴ So the LCM of the given numbers is 2 x 277 x 3527 = 1953958

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1953958

Therefore, the GCF of Fractions 1745/554,4195/7054 is 5/1953958

Least Common Multiple of 554,7054 with GCF Formula

Least Common Multiple of 554,7054 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 554,7054 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(554,7054) = 2

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

GCF(554,7054) x common factors =2 x 1 = 2

LCM(554,7054) = ( 554 × 7054 ) / 2

LCM(554,7054) = 3907916 / 2

LCM(554,7054) = 1953958


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FAQs on GCF of Fractions of 1745/554, 4195/7054

1. What is the HCF of 1745,4195?

The HCF of 1745,4195 is 5

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 1745/554, 4195/7054?

Answer: GCF of Numerators as per given numbers 1745/554, 4195/7054 is

GCF of Numerators i.e. for 1745,4195 is 5

LCM of denominators i.e. for 554,7054 is 1953958.

Thus, GCF of Fractions is 5/1953958.Finally, GCF of Fractions for 1745/554, 4195/7054 is 5/1953958.