Highest Common Factor of 731, 901, 196 using Euclid's algorithm
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 731, 901, 196 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 731, 901, 196 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 731, 901, 196 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 731, 901, 196 is 1.
HCF(731, 901, 196) = 1
HCF of 731, 901, 196 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 731, 901, 196 is 1.
Highest Common Factor of 731,901,196 is 1
Step 1: Since 901 > 731, we apply the division lemma to 901 and 731, to get
901 = 731 x 1 + 170
Step 2: Since the reminder 731 ≠ 0, we apply division lemma to 170 and 731, to get
731 = 170 x 4 + 51
Step 3: We consider the new divisor 170 and the new remainder 51, and apply the division lemma to get
170 = 51 x 3 + 17
We consider the new divisor 51 and the new remainder 17, and apply the division lemma to get
51 = 17 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 17, the HCF of 731 and 901 is 17
Notice that 17 = HCF(51,17) = HCF(170,51) = HCF(731,170) = HCF(901,731) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 196 > 17, we apply the division lemma to 196 and 17, to get
196 = 17 x 11 + 9
Step 2: Since the reminder 17 ≠ 0, we apply division lemma to 9 and 17, to get
17 = 9 x 1 + 8
Step 3: We consider the new divisor 9 and the new remainder 8, and apply the division lemma to get
9 = 8 x 1 + 1
We consider the new divisor 8 and the new remainder 1, and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 17 and 196 is 1
Notice that 1 = HCF(8,1) = HCF(9,8) = HCF(17,9) = HCF(196,17) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 731, 901, 196 using Euclid's Algorithm
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 731, 901, 196?
Answer: HCF of 731, 901, 196 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 731, 901, 196 using Euclid's Algorithm?
Answer: For arbitrary numbers 731, 901, 196 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.