How to Find GCF of 3470/642, 7054/1639?

GCF of 3470/642, 7054/1639

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 3470/642, 7054/1639 i.e 2/1052238 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3470/642, 7054/1639.

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 3470/642,7054/1639?

Given fractions are 3470/642,7054/1639

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 3470/642,7054/1639, numerators are 3470,7054

Denominators are 642,1639

The GCF of 3470,7054 is 2 .

LCM of 642,1639 is 1052238.

The greatest common factor of 3470/642,7054/1639 = [GCF of 3470,7054]/[LCM of 642,1639]= 2/1052238

Therefore, the GCF of 3470/642,7054/1639 is 2/1052238.

Greatest Common Factor of 3470,7054

To find the highest common factor of 3470,7054, we have to find the factors of both numbers and list the highest common factor.

The factors of 3470 are 1, 2, 5, 10, 347, 694, 1735, 3470

The factors of 7054 are 1, 2, 3527, 7054

The HCF of 3470,7054 is 2.

Lets's calculate GCF of 3470,7054

Greatest Common Factor (GCF) of 3470,7054 By Common Division

2	3470, 7054
	1735, 3527

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 3470,7054 By Matching Biggest Common Factor Method

Now, list down the factors of 3470

1,2,5,10,347,694,1735,3470

Now, list down the factors of 7054

1,2,3527,7054

Greatest Common Factor

We found the factors 3470,7054 . The biggest common factor number is the GCF number.
So the greatest common factor 3470,7054 is 2.

Lets's calculate LCM of 642,1639

Lowest Common Multiple of 642,1639 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1052238

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1052238

Therefore, the GCF of Fractions 3470/642,7054/1639 is 2/1052238

Least Common Multiple of 642,1639 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 642,1639 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(642,1639) = 1

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

GCF(642,1639) x common factors =1 x 1 = 1

LCM(642,1639) = ( 642 × 1639 ) / 1

LCM(642,1639) = 1052238 / 1

LCM(642,1639) = 1052238

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FAQs on GCF of Fractions of 3470/642, 7054/1639

1. What is the HCF of 3470,7054?

The HCF of 3470,7054 is 2

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 3470/642, 7054/1639?

Answer: GCF of Numerators as per given numbers 3470/642, 7054/1639 is

GCF of Numerators i.e. for 3470,7054 is 2

LCM of denominators i.e. for 642,1639 is 1052238.

Thus, GCF of Fractions is 2/1052238.Finally, GCF of Fractions for 3470/642, 7054/1639 is 2/1052238.