Highest Common Factor of 914, 356, 273, 344 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 914, 356, 273, 344 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 914, 356, 273, 344 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 914, 356, 273, 344 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 914, 356, 273, 344 is 1.
HCF(914, 356, 273, 344) = 1
HCF of 914, 356, 273, 344 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 914, 356, 273, 344 is 1.
Highest Common Factor of 914,356,273,344 is 1
Step 1: Since 914 > 356, we apply the division lemma to 914 and 356, to get
914 = 356 x 2 + 202
Step 2: Since the reminder 356 ≠ 0, we apply division lemma to 202 and 356, to get
356 = 202 x 1 + 154
Step 3: We consider the new divisor 202 and the new remainder 154, and apply the division lemma to get
202 = 154 x 1 + 48
We consider the new divisor 154 and the new remainder 48,and apply the division lemma to get
154 = 48 x 3 + 10
We consider the new divisor 48 and the new remainder 10,and apply the division lemma to get
48 = 10 x 4 + 8
We consider the new divisor 10 and the new remainder 8,and apply the division lemma to get
10 = 8 x 1 + 2
We consider the new divisor 8 and the new remainder 2,and apply the division lemma to get
8 = 2 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 914 and 356 is 2
Notice that 2 = HCF(8,2) = HCF(10,8) = HCF(48,10) = HCF(154,48) = HCF(202,154) = HCF(356,202) = HCF(914,356) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 273 > 2, we apply the division lemma to 273 and 2, to get
273 = 2 x 136 + 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 273 is 1
Notice that 1 = HCF(2,1) = HCF(273,2) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 344 > 1, we apply the division lemma to 344 and 1, to get
344 = 1 x 344 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 344 is 1
Notice that 1 = HCF(344,1) .
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Frequently Asked Questions on HCF of 914, 356, 273, 344 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 914, 356, 273, 344?
Answer: HCF of 914, 356, 273, 344 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 914, 356, 273, 344 using Euclid's Algorithm?
Answer: For arbitrary numbers 914, 356, 273, 344 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.