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, 7194 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 731, 7194 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, 7194 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, 7194 is 1.
HCF(731, 7194) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 731, 7194 is 1.
Step 1: Since 7194 > 731, we apply the division lemma to 7194 and 731, to get
7194 = 731 x 9 + 615
Step 2: Since the reminder 731 ≠ 0, we apply division lemma to 615 and 731, to get
731 = 615 x 1 + 116
Step 3: We consider the new divisor 615 and the new remainder 116, and apply the division lemma to get
615 = 116 x 5 + 35
We consider the new divisor 116 and the new remainder 35,and apply the division lemma to get
116 = 35 x 3 + 11
We consider the new divisor 35 and the new remainder 11,and apply the division lemma to get
35 = 11 x 3 + 2
We consider the new divisor 11 and the new remainder 2,and apply the division lemma to get
11 = 2 x 5 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 731 and 7194 is 1
Notice that 1 = HCF(2,1) = HCF(11,2) = HCF(35,11) = HCF(116,35) = HCF(615,116) = HCF(731,615) = HCF(7194,731) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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, 7194?
Answer: HCF of 731, 7194 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 731, 7194 using Euclid's Algorithm?
Answer: For arbitrary numbers 731, 7194 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.