Highest Common Factor of 805, 490, 645 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 805, 490, 645 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 805, 490, 645 is 5 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 805, 490, 645 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 805, 490, 645 is 5.
HCF(805, 490, 645) = 5
HCF of 805, 490, 645 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 805, 490, 645 is 5.
Highest Common Factor of 805,490,645 is 5
Step 1: Since 805 > 490, we apply the division lemma to 805 and 490, to get
805 = 490 x 1 + 315
Step 2: Since the reminder 490 ≠ 0, we apply division lemma to 315 and 490, to get
490 = 315 x 1 + 175
Step 3: We consider the new divisor 315 and the new remainder 175, and apply the division lemma to get
315 = 175 x 1 + 140
We consider the new divisor 175 and the new remainder 140,and apply the division lemma to get
175 = 140 x 1 + 35
We consider the new divisor 140 and the new remainder 35,and apply the division lemma to get
140 = 35 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 35, the HCF of 805 and 490 is 35
Notice that 35 = HCF(140,35) = HCF(175,140) = HCF(315,175) = HCF(490,315) = HCF(805,490) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 645 > 35, we apply the division lemma to 645 and 35, to get
645 = 35 x 18 + 15
Step 2: Since the reminder 35 ≠ 0, we apply division lemma to 15 and 35, to get
35 = 15 x 2 + 5
Step 3: We consider the new divisor 15 and the new remainder 5, and apply the division lemma to get
15 = 5 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 35 and 645 is 5
Notice that 5 = HCF(15,5) = HCF(35,15) = HCF(645,35) .
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Frequently Asked Questions on HCF of 805, 490, 645 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 805, 490, 645?
Answer: HCF of 805, 490, 645 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 805, 490, 645 using Euclid's Algorithm?
Answer: For arbitrary numbers 805, 490, 645 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.