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GCF of 348/687, 778/349

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 348/687, 778/349 i.e 2/239763 easily. The following is the detailed procedure to determine the greatest common factor of fractions 348/687, 778/349.

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 348/687,778/349?

Given fractions are 348/687,778/349

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 348/687,778/349, numerators are 348,778

Denominators are 687,349

The GCF of 348,778 is 2 .

LCM of 687,349 is 239763.

The greatest common factor of 348/687,778/349 = [GCF of 348,778]/[LCM of 687,349]= 2/239763

Therefore, the GCF of 348/687,778/349 is 2/239763.

Greatest Common Factor of 348,778

To find the highest common factor of 348,778, we have to find the factors of both numbers and list the highest common factor.

The factors of 348 are 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

The factors of 778 are 1, 2, 389, 778

The HCF of 348,778 is 2.

Lets's calculate GCF of 348,778

Greatest Common Factor (GCF) of 348,778 By Common Division

2 348, 778
174, 389

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

Greatest Common Factor of 348,778 By Matching Biggest Common Factor Method

Greatest Common Factor of 348,778 By Matching Biggest Common Factor Method

Now, list down the factors of 348

:

1,2,3,4,6,12,29,58,87,116,174,348

Now, list down the factors of 778

:

1,2,389,778

Greatest Common Factor

We found the factors 348,778 . The biggest common factor number is the GCF number.
So the greatest common factor 348,778 is 2.

Lets's calculate LCM of 687,349

Lowest Common Multiple of 687,349 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 239763

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/239763

Therefore, the GCF of Fractions 348/687,778/349 is 2/239763

Least Common Multiple of 687,349 with GCF Formula

Least Common Multiple of 687,349 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 687,349 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(687,349) = 1

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

GCF(687,349) x common factors =1 x 1 = 1

LCM(687,349) = ( 687 × 349 ) / 1

LCM(687,349) = 239763 / 1

LCM(687,349) = 239763


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FAQs on GCF of Fractions of 348/687, 778/349

1. What is the HCF of 348,778?

The HCF of 348,778 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 348/687, 778/349?

Answer: GCF of Numerators as per given numbers 348/687, 778/349 is

GCF of Numerators i.e. for 348,778 is 2

LCM of denominators i.e. for 687,349 is 239763.

Thus, GCF of Fractions is 2/239763.Finally, GCF of Fractions for 348/687, 778/349 is 2/239763.