How to Find GCF of 35/61, 778/88, 693/235?

GCF of 35/61, 778/88, 693/235

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 35/61, 778/88, 693/235 i.e 1/1261480 easily. The following is the detailed procedure to determine the greatest common factor of fractions 35/61, 778/88, 693/235.

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 35/61,778/88,693/235?

Given fractions are 35/61,778/88,693/235

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 35/61,778/88,693/235, numerators are 35,778,693

Denominators are 61,88,235

The GCF of 35,778,693 is 1 .

LCM of 61,88,235 is 1261480.

The greatest common factor of 35/61,778/88,693/235 = [GCF of 35,778,693]/[LCM of 61,88,235]= 1/1261480

Therefore, the GCF of 35/61,778/88,693/235 is 1/1261480.

Greatest Common Factor of 35,778,693

To find the highest common factor of 35,778,693, we have to find the factors of both numbers and list the highest common factor.

The factors of 35 are 1, 5, 7, 35

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

The factors of 693 are 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

The HCF of 35,778,693 is 1.

Lets's calculate GCF of 35,778,693

Greatest Common Factor (GCF) of 35,778,693 By Common Division

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

Greatest Common Factor of 35,778,693 By Matching Biggest Common Factor Method

Now, list down the factors of 35

1,5,7,35

Now, list down the factors of 778

1,2,389,778

Now, list down the factors of 693

1,3,7,9,11,21,33,63,77,99,231,693

Greatest Common Factor

We found the factors 35,778,693 . The biggest common factor number is the GCF number.
So the greatest common factor 35,778,693 is 1.

Lets's calculate LCM of 61,88,235

Lowest Common Multiple of 61,88,235 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1261480

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1261480

Therefore, the GCF of Fractions 35/61,778/88,693/235 is 1/1261480

Least Common Multiple of 61,88,235 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 61,88,235 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,88,235) = 1

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

GCF(61,88,235) x common factors =1 x 1 = 1

LCM(61,88,235) = ( 61 × 88 × 235 ) / 1

LCM(61,88,235) = 1261480 / 1

LCM(61,88,235) = 1261480

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FAQs on GCF of Fractions of 35/61, 778/88, 693/235

1. What is the HCF of 35,778,693?

The HCF of 35,778,693 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 35/61, 778/88, 693/235?

Answer: GCF of Numerators as per given numbers 35/61, 778/88, 693/235 is

GCF of Numerators i.e. for 35,778,693 is 1

LCM of denominators i.e. for 61,88,235 is 1261480.

Thus, GCF of Fractions is 1/1261480.Finally, GCF of Fractions for 35/61, 778/88, 693/235 is 1/1261480.