Highest Common Factor of 669, 410, 157, 844 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 669, 410, 157, 844 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 669, 410, 157, 844 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 669, 410, 157, 844 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 669, 410, 157, 844 is 1.
HCF(669, 410, 157, 844) = 1
HCF of 669, 410, 157, 844 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 669, 410, 157, 844 is 1.
Highest Common Factor of 669,410,157,844 is 1
Step 1: Since 669 > 410, we apply the division lemma to 669 and 410, to get
669 = 410 x 1 + 259
Step 2: Since the reminder 410 ≠ 0, we apply division lemma to 259 and 410, to get
410 = 259 x 1 + 151
Step 3: We consider the new divisor 259 and the new remainder 151, and apply the division lemma to get
259 = 151 x 1 + 108
We consider the new divisor 151 and the new remainder 108,and apply the division lemma to get
151 = 108 x 1 + 43
We consider the new divisor 108 and the new remainder 43,and apply the division lemma to get
108 = 43 x 2 + 22
We consider the new divisor 43 and the new remainder 22,and apply the division lemma to get
43 = 22 x 1 + 21
We consider the new divisor 22 and the new remainder 21,and apply the division lemma to get
22 = 21 x 1 + 1
We consider the new divisor 21 and the new remainder 1,and apply the division lemma to get
21 = 1 x 21 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 669 and 410 is 1
Notice that 1 = HCF(21,1) = HCF(22,21) = HCF(43,22) = HCF(108,43) = HCF(151,108) = HCF(259,151) = HCF(410,259) = HCF(669,410) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 157 > 1, we apply the division lemma to 157 and 1, to get
157 = 1 x 157 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 157 is 1
Notice that 1 = HCF(157,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 844 > 1, we apply the division lemma to 844 and 1, to get
844 = 1 x 844 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 844 is 1
Notice that 1 = HCF(844,1) .
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Frequently Asked Questions on HCF of 669, 410, 157, 844 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 669, 410, 157, 844?
Answer: HCF of 669, 410, 157, 844 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 669, 410, 157, 844 using Euclid's Algorithm?
Answer: For arbitrary numbers 669, 410, 157, 844 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.