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 9222, 9701, 59565 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9222, 9701, 59565 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 9222, 9701, 59565 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 9222, 9701, 59565 is 1.
HCF(9222, 9701, 59565) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9222, 9701, 59565 is 1.
Step 1: Since 9701 > 9222, we apply the division lemma to 9701 and 9222, to get
9701 = 9222 x 1 + 479
Step 2: Since the reminder 9222 ≠ 0, we apply division lemma to 479 and 9222, to get
9222 = 479 x 19 + 121
Step 3: We consider the new divisor 479 and the new remainder 121, and apply the division lemma to get
479 = 121 x 3 + 116
We consider the new divisor 121 and the new remainder 116,and apply the division lemma to get
121 = 116 x 1 + 5
We consider the new divisor 116 and the new remainder 5,and apply the division lemma to get
116 = 5 x 23 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9222 and 9701 is 1
Notice that 1 = HCF(5,1) = HCF(116,5) = HCF(121,116) = HCF(479,121) = HCF(9222,479) = HCF(9701,9222) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 59565 > 1, we apply the division lemma to 59565 and 1, to get
59565 = 1 x 59565 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 59565 is 1
Notice that 1 = HCF(59565,1) .
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 9222, 9701, 59565?
Answer: HCF of 9222, 9701, 59565 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9222, 9701, 59565 using Euclid's Algorithm?
Answer: For arbitrary numbers 9222, 9701, 59565 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.