Highest Common Factor of 863, 6220 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 863, 6220 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 863, 6220 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 863, 6220 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 863, 6220 is 1.
HCF(863, 6220) = 1
HCF of 863, 6220 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 863, 6220 is 1.
Highest Common Factor of 863,6220 is 1
Step 1: Since 6220 > 863, we apply the division lemma to 6220 and 863, to get
6220 = 863 x 7 + 179
Step 2: Since the reminder 863 ≠ 0, we apply division lemma to 179 and 863, to get
863 = 179 x 4 + 147
Step 3: We consider the new divisor 179 and the new remainder 147, and apply the division lemma to get
179 = 147 x 1 + 32
We consider the new divisor 147 and the new remainder 32,and apply the division lemma to get
147 = 32 x 4 + 19
We consider the new divisor 32 and the new remainder 19,and apply the division lemma to get
32 = 19 x 1 + 13
We consider the new divisor 19 and the new remainder 13,and apply the division lemma to get
19 = 13 x 1 + 6
We consider the new divisor 13 and the new remainder 6,and apply the division lemma to get
13 = 6 x 2 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 863 and 6220 is 1
Notice that 1 = HCF(6,1) = HCF(13,6) = HCF(19,13) = HCF(32,19) = HCF(147,32) = HCF(179,147) = HCF(863,179) = HCF(6220,863) .
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Frequently Asked Questions on HCF of 863, 6220 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 863, 6220?
Answer: HCF of 863, 6220 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 863, 6220 using Euclid's Algorithm?
Answer: For arbitrary numbers 863, 6220 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
