How to Find GCF of 98/376, 34/803, 853/675?

GCF of 98/376, 34/803, 853/675

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 98/376, 34/803, 853/675 i.e 1/203801400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 98/376, 34/803, 853/675.

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 98/376,34/803,853/675?

Given fractions are 98/376,34/803,853/675

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 98/376,34/803,853/675, numerators are 98,34,853

Denominators are 376,803,675

The GCF of 98,34,853 is 1 .

LCM of 376,803,675 is 203801400.

The greatest common factor of 98/376,34/803,853/675 = [GCF of 98,34,853]/[LCM of 376,803,675]= 1/203801400

Therefore, the GCF of 98/376,34/803,853/675 is 1/203801400.

Greatest Common Factor of 98,34,853

To find the highest common factor of 98,34,853, we have to find the factors of both numbers and list the highest common factor.

The factors of 98 are 1, 2, 7, 14, 49, 98

The factors of 34 are 1, 2, 17, 34

The factors of 853 are 1, 853

The HCF of 98,34,853 is 1.

Lets's calculate GCF of 98,34,853

Greatest Common Factor (GCF) of 98,34,853 By Common Division

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

Greatest Common Factor of 98,34,853 By Matching Biggest Common Factor Method

Now, list down the factors of 98

1,2,7,14,49,98

Now, list down the factors of 34

1,2,17,34

Now, list down the factors of 853

1,853

Greatest Common Factor

We found the factors 98,34,853 . The biggest common factor number is the GCF number.
So the greatest common factor 98,34,853 is 1.

Lets's calculate LCM of 376,803,675

Lowest Common Multiple of 376,803,675 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 203801400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/203801400

Therefore, the GCF of Fractions 98/376,34/803,853/675 is 1/203801400

Least Common Multiple of 376,803,675 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 376,803,675 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(376,803,675) = 1

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

GCF(376,803,675) x common factors =1 x 1 = 1

LCM(376,803,675) = ( 376 × 803 × 675 ) / 1

LCM(376,803,675) = 203801400 / 1

LCM(376,803,675) = 203801400

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FAQs on GCF of Fractions of 98/376, 34/803, 853/675

1. What is the HCF of 98,34,853?

The HCF of 98,34,853 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 98/376, 34/803, 853/675?

Answer: GCF of Numerators as per given numbers 98/376, 34/803, 853/675 is

GCF of Numerators i.e. for 98,34,853 is 1

LCM of denominators i.e. for 376,803,675 is 203801400.

Thus, GCF of Fractions is 1/203801400.Finally, GCF of Fractions for 98/376, 34/803, 853/675 is 1/203801400.