Highest Common Factor of 640, 805, 856 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 640, 805, 856 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 640, 805, 856 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 640, 805, 856 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 640, 805, 856 is 1.
HCF(640, 805, 856) = 1
HCF of 640, 805, 856 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 640, 805, 856 is 1.
Highest Common Factor of 640,805,856 is 1
Step 1: Since 805 > 640, we apply the division lemma to 805 and 640, to get
805 = 640 x 1 + 165
Step 2: Since the reminder 640 ≠ 0, we apply division lemma to 165 and 640, to get
640 = 165 x 3 + 145
Step 3: We consider the new divisor 165 and the new remainder 145, and apply the division lemma to get
165 = 145 x 1 + 20
We consider the new divisor 145 and the new remainder 20,and apply the division lemma to get
145 = 20 x 7 + 5
We consider the new divisor 20 and the new remainder 5,and apply the division lemma to get
20 = 5 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 640 and 805 is 5
Notice that 5 = HCF(20,5) = HCF(145,20) = HCF(165,145) = HCF(640,165) = HCF(805,640) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 856 > 5, we apply the division lemma to 856 and 5, to get
856 = 5 x 171 + 1
Step 2: Since the reminder 5 ≠ 0, we apply division lemma to 1 and 5, 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 5 and 856 is 1
Notice that 1 = HCF(5,1) = HCF(856,5) .
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Frequently Asked Questions on HCF of 640, 805, 856 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 640, 805, 856?
Answer: HCF of 640, 805, 856 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 640, 805, 856 using Euclid's Algorithm?
Answer: For arbitrary numbers 640, 805, 856 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.