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 9052, 8361, 96915 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9052, 8361, 96915 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 9052, 8361, 96915 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 9052, 8361, 96915 is 1.
HCF(9052, 8361, 96915) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9052, 8361, 96915 is 1.
Step 1: Since 9052 > 8361, we apply the division lemma to 9052 and 8361, to get
9052 = 8361 x 1 + 691
Step 2: Since the reminder 8361 ≠ 0, we apply division lemma to 691 and 8361, to get
8361 = 691 x 12 + 69
Step 3: We consider the new divisor 691 and the new remainder 69, and apply the division lemma to get
691 = 69 x 10 + 1
We consider the new divisor 69 and the new remainder 1, and apply the division lemma to get
69 = 1 x 69 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9052 and 8361 is 1
Notice that 1 = HCF(69,1) = HCF(691,69) = HCF(8361,691) = HCF(9052,8361) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 96915 > 1, we apply the division lemma to 96915 and 1, to get
96915 = 1 x 96915 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 96915 is 1
Notice that 1 = HCF(96915,1) .
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 9052, 8361, 96915?
Answer: HCF of 9052, 8361, 96915 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9052, 8361, 96915 using Euclid's Algorithm?
Answer: For arbitrary numbers 9052, 8361, 96915 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.