Highest Common Factor of 351, 154 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 351, 154 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 351, 154 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 351, 154 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 351, 154 is 1.
HCF(351, 154) = 1
HCF of 351, 154 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 351, 154 is 1.
Highest Common Factor of 351,154 is 1
Step 1: Since 351 > 154, we apply the division lemma to 351 and 154, to get
351 = 154 x 2 + 43
Step 2: Since the reminder 154 ≠ 0, we apply division lemma to 43 and 154, to get
154 = 43 x 3 + 25
Step 3: We consider the new divisor 43 and the new remainder 25, and apply the division lemma to get
43 = 25 x 1 + 18
We consider the new divisor 25 and the new remainder 18,and apply the division lemma to get
25 = 18 x 1 + 7
We consider the new divisor 18 and the new remainder 7,and apply the division lemma to get
18 = 7 x 2 + 4
We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get
7 = 4 x 1 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 351 and 154 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(18,7) = HCF(25,18) = HCF(43,25) = HCF(154,43) = HCF(351,154) .
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Frequently Asked Questions on HCF of 351, 154 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 351, 154?
Answer: HCF of 351, 154 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 351, 154 using Euclid's Algorithm?
Answer: For arbitrary numbers 351, 154 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.