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GCF of 799/946, 1901/914

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 799/946, 1901/914 i.e 1/432322 easily. The following is the detailed procedure to determine the greatest common factor of fractions 799/946, 1901/914.

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 799/946,1901/914?

Given fractions are 799/946,1901/914

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 799/946,1901/914, numerators are 799,1901

Denominators are 946,914

The GCF of 799,1901 is 1 .

LCM of 946,914 is 432322.

The greatest common factor of 799/946,1901/914 = [GCF of 799,1901]/[LCM of 946,914]= 1/432322

Therefore, the GCF of 799/946,1901/914 is 1/432322.

Greatest Common Factor of 799,1901

To find the highest common factor of 799,1901, we have to find the factors of both numbers and list the highest common factor.

The factors of 799 are 1, 17, 47, 799

The factors of 1901 are 1, 1901

The HCF of 799,1901 is 1.

Lets's calculate GCF of 799,1901

Greatest Common Factor (GCF) of 799,1901 By Common Division

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

Greatest Common Factor of 799,1901 By Matching Biggest Common Factor Method

Greatest Common Factor of 799,1901 By Matching Biggest Common Factor Method

Now, list down the factors of 799

:

1,17,47,799

Now, list down the factors of 1901

:

1,1901

Greatest Common Factor

We found the factors 799,1901 . The biggest common factor number is the GCF number.
So the greatest common factor 799,1901 is 1.

Lets's calculate LCM of 946,914

Lowest Common Multiple of 946,914 using Common Division

2 946, 914
473, 457

∴ So the LCM of the given numbers is 2 x 473 x 457 = 432322

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/432322

Therefore, the GCF of Fractions 799/946,1901/914 is 1/432322

Least Common Multiple of 946,914 with GCF Formula

Least Common Multiple of 946,914 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 946,914 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(946,914) = 2

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

GCF(946,914) x common factors =2 x 1 = 2

LCM(946,914) = ( 946 × 914 ) / 2

LCM(946,914) = 864644 / 2

LCM(946,914) = 432322


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 799/946, 1901/914

1. What is the HCF of 799,1901?

The HCF of 799,1901 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 799/946, 1901/914?

Answer: GCF of Numerators as per given numbers 799/946, 1901/914 is

GCF of Numerators i.e. for 799,1901 is 1

LCM of denominators i.e. for 946,914 is 432322.

Thus, GCF of Fractions is 1/432322.Finally, GCF of Fractions for 799/946, 1901/914 is 1/432322.