How to Find GCF of 1669/670, 7002/488?

GCF of 1669/670, 7002/488

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 1669/670, 7002/488 i.e 1/163480 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1669/670, 7002/488.

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 1669/670,7002/488?

Given fractions are 1669/670,7002/488

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 1669/670,7002/488, numerators are 1669,7002

Denominators are 670,488

The GCF of 1669,7002 is 1 .

LCM of 670,488 is 163480.

The greatest common factor of 1669/670,7002/488 = [GCF of 1669,7002]/[LCM of 670,488]= 1/163480

Therefore, the GCF of 1669/670,7002/488 is 1/163480.

Greatest Common Factor of 1669,7002

To find the highest common factor of 1669,7002, we have to find the factors of both numbers and list the highest common factor.

The factors of 1669 are 1, 1669

The factors of 7002 are 1, 2, 3, 6, 9, 18, 389, 778, 1167, 2334, 3501, 7002

The HCF of 1669,7002 is 1.

Lets's calculate GCF of 1669,7002

Greatest Common Factor (GCF) of 1669,7002 By Common Division

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

Greatest Common Factor of 1669,7002 By Matching Biggest Common Factor Method

Now, list down the factors of 1669

1,1669

Now, list down the factors of 7002

1,2,3,6,9,18,389,778,1167,2334,3501,7002

Greatest Common Factor

We found the factors 1669,7002 . The biggest common factor number is the GCF number.
So the greatest common factor 1669,7002 is 1.

Lets's calculate LCM of 670,488

Lowest Common Multiple of 670,488 using Common Division

2	670, 488
	335, 244

∴ So the LCM of the given numbers is 2 x 335 x 244 = 163480

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/163480

Therefore, the GCF of Fractions 1669/670,7002/488 is 1/163480

Least Common Multiple of 670,488 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 670,488 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(670,488) = 2

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

GCF(670,488) x common factors =2 x 1 = 2

LCM(670,488) = ( 670 × 488 ) / 2

LCM(670,488) = 326960 / 2

LCM(670,488) = 163480

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FAQs on GCF of Fractions of 1669/670, 7002/488

1. What is the HCF of 1669,7002?

The HCF of 1669,7002 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 1669/670, 7002/488?

Answer: GCF of Numerators as per given numbers 1669/670, 7002/488 is

GCF of Numerators i.e. for 1669,7002 is 1

LCM of denominators i.e. for 670,488 is 163480.

Thus, GCF of Fractions is 1/163480.Finally, GCF of Fractions for 1669/670, 7002/488 is 1/163480.