Highest Common Factor of 322, 2795 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 322, 2795 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 322, 2795 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 322, 2795 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 322, 2795 is 1.
HCF(322, 2795) = 1
HCF of 322, 2795 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 322, 2795 is 1.
Highest Common Factor of 322,2795 is 1
Step 1: Since 2795 > 322, we apply the division lemma to 2795 and 322, to get
2795 = 322 x 8 + 219
Step 2: Since the reminder 322 ≠ 0, we apply division lemma to 219 and 322, to get
322 = 219 x 1 + 103
Step 3: We consider the new divisor 219 and the new remainder 103, and apply the division lemma to get
219 = 103 x 2 + 13
We consider the new divisor 103 and the new remainder 13,and apply the division lemma to get
103 = 13 x 7 + 12
We consider the new divisor 13 and the new remainder 12,and apply the division lemma to get
13 = 12 x 1 + 1
We consider the new divisor 12 and the new remainder 1,and apply the division lemma to get
12 = 1 x 12 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 322 and 2795 is 1
Notice that 1 = HCF(12,1) = HCF(13,12) = HCF(103,13) = HCF(219,103) = HCF(322,219) = HCF(2795,322) .
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Frequently Asked Questions on HCF of 322, 2795 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 322, 2795?
Answer: HCF of 322, 2795 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 322, 2795 using Euclid's Algorithm?
Answer: For arbitrary numbers 322, 2795 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.