Highest Common Factor of 796, 490, 69 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 796, 490, 69 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 796, 490, 69 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 796, 490, 69 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 796, 490, 69 is 1.
HCF(796, 490, 69) = 1
HCF of 796, 490, 69 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 796, 490, 69 is 1.
Highest Common Factor of 796,490,69 is 1
Step 1: Since 796 > 490, we apply the division lemma to 796 and 490, to get
796 = 490 x 1 + 306
Step 2: Since the reminder 490 ≠ 0, we apply division lemma to 306 and 490, to get
490 = 306 x 1 + 184
Step 3: We consider the new divisor 306 and the new remainder 184, and apply the division lemma to get
306 = 184 x 1 + 122
We consider the new divisor 184 and the new remainder 122,and apply the division lemma to get
184 = 122 x 1 + 62
We consider the new divisor 122 and the new remainder 62,and apply the division lemma to get
122 = 62 x 1 + 60
We consider the new divisor 62 and the new remainder 60,and apply the division lemma to get
62 = 60 x 1 + 2
We consider the new divisor 60 and the new remainder 2,and apply the division lemma to get
60 = 2 x 30 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 796 and 490 is 2
Notice that 2 = HCF(60,2) = HCF(62,60) = HCF(122,62) = HCF(184,122) = HCF(306,184) = HCF(490,306) = HCF(796,490) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 69 > 2, we apply the division lemma to 69 and 2, to get
69 = 2 x 34 + 1
Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2 and 69 is 1
Notice that 1 = HCF(2,1) = HCF(69,2) .
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Frequently Asked Questions on HCF of 796, 490, 69 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 796, 490, 69?
Answer: HCF of 796, 490, 69 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 796, 490, 69 using Euclid's Algorithm?
Answer: For arbitrary numbers 796, 490, 69 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.