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 220, 9460, 8287 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 220, 9460, 8287 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 220, 9460, 8287 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 220, 9460, 8287 is 1.
HCF(220, 9460, 8287) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 220, 9460, 8287 is 1.
Step 1: Since 9460 > 220, we apply the division lemma to 9460 and 220, to get
9460 = 220 x 43 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 220, the HCF of 220 and 9460 is 220
Notice that 220 = HCF(9460,220) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 8287 > 220, we apply the division lemma to 8287 and 220, to get
8287 = 220 x 37 + 147
Step 2: Since the reminder 220 ≠ 0, we apply division lemma to 147 and 220, to get
220 = 147 x 1 + 73
Step 3: We consider the new divisor 147 and the new remainder 73, and apply the division lemma to get
147 = 73 x 2 + 1
We consider the new divisor 73 and the new remainder 1, and apply the division lemma to get
73 = 1 x 73 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 220 and 8287 is 1
Notice that 1 = HCF(73,1) = HCF(147,73) = HCF(220,147) = HCF(8287,220) .
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 220, 9460, 8287?
Answer: HCF of 220, 9460, 8287 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 220, 9460, 8287 using Euclid's Algorithm?
Answer: For arbitrary numbers 220, 9460, 8287 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.