Highest Common Factor of 354, 606 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 354, 606 i.e. 6 the largest integer that leaves a remainder zero for all numbers.
HCF of 354, 606 is 6 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 354, 606 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 354, 606 is 6.
HCF(354, 606) = 6
HCF of 354, 606 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 354, 606 is 6.
Highest Common Factor of 354,606 is 6
Step 1: Since 606 > 354, we apply the division lemma to 606 and 354, to get
606 = 354 x 1 + 252
Step 2: Since the reminder 354 ≠ 0, we apply division lemma to 252 and 354, to get
354 = 252 x 1 + 102
Step 3: We consider the new divisor 252 and the new remainder 102, and apply the division lemma to get
252 = 102 x 2 + 48
We consider the new divisor 102 and the new remainder 48,and apply the division lemma to get
102 = 48 x 2 + 6
We consider the new divisor 48 and the new remainder 6,and apply the division lemma to get
48 = 6 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 6, the HCF of 354 and 606 is 6
Notice that 6 = HCF(48,6) = HCF(102,48) = HCF(252,102) = HCF(354,252) = HCF(606,354) .
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Frequently Asked Questions on HCF of 354, 606 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 354, 606?
Answer: HCF of 354, 606 is 6 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 354, 606 using Euclid's Algorithm?
Answer: For arbitrary numbers 354, 606 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.