Highest Common Factor of 341, 969, 662 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 341, 969, 662 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 341, 969, 662 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 341, 969, 662 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 341, 969, 662 is 1.
HCF(341, 969, 662) = 1
HCF of 341, 969, 662 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 341, 969, 662 is 1.
Highest Common Factor of 341,969,662 is 1
Step 1: Since 969 > 341, we apply the division lemma to 969 and 341, to get
969 = 341 x 2 + 287
Step 2: Since the reminder 341 ≠ 0, we apply division lemma to 287 and 341, to get
341 = 287 x 1 + 54
Step 3: We consider the new divisor 287 and the new remainder 54, and apply the division lemma to get
287 = 54 x 5 + 17
We consider the new divisor 54 and the new remainder 17,and apply the division lemma to get
54 = 17 x 3 + 3
We consider the new divisor 17 and the new remainder 3,and apply the division lemma to get
17 = 3 x 5 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma 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 341 and 969 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(17,3) = HCF(54,17) = HCF(287,54) = HCF(341,287) = HCF(969,341) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 662 > 1, we apply the division lemma to 662 and 1, to get
662 = 1 x 662 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 662 is 1
Notice that 1 = HCF(662,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 341, 969, 662 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 341, 969, 662?
Answer: HCF of 341, 969, 662 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 341, 969, 662 using Euclid's Algorithm?
Answer: For arbitrary numbers 341, 969, 662 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.