Highest Common Factor of 226, 154, 410, 49 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 226, 154, 410, 49 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 226, 154, 410, 49 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 226, 154, 410, 49 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 226, 154, 410, 49 is 1.
HCF(226, 154, 410, 49) = 1
HCF of 226, 154, 410, 49 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 226, 154, 410, 49 is 1.
Highest Common Factor of 226,154,410,49 is 1
Step 1: Since 226 > 154, we apply the division lemma to 226 and 154, to get
226 = 154 x 1 + 72
Step 2: Since the reminder 154 ≠ 0, we apply division lemma to 72 and 154, to get
154 = 72 x 2 + 10
Step 3: We consider the new divisor 72 and the new remainder 10, and apply the division lemma to get
72 = 10 x 7 + 2
We consider the new divisor 10 and the new remainder 2, and apply the division lemma to get
10 = 2 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 226 and 154 is 2
Notice that 2 = HCF(10,2) = HCF(72,10) = HCF(154,72) = HCF(226,154) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 410 > 2, we apply the division lemma to 410 and 2, to get
410 = 2 x 205 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 410 is 2
Notice that 2 = HCF(410,2) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 49 > 2, we apply the division lemma to 49 and 2, to get
49 = 2 x 24 + 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 49 is 1
Notice that 1 = HCF(2,1) = HCF(49,2) .
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Frequently Asked Questions on HCF of 226, 154, 410, 49 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 226, 154, 410, 49?
Answer: HCF of 226, 154, 410, 49 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 226, 154, 410, 49 using Euclid's Algorithm?
Answer: For arbitrary numbers 226, 154, 410, 49 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.