Highest Common Factor of 355, 294, 164, 47 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 355, 294, 164, 47 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 355, 294, 164, 47 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 355, 294, 164, 47 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 355, 294, 164, 47 is 1.
HCF(355, 294, 164, 47) = 1
HCF of 355, 294, 164, 47 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 355, 294, 164, 47 is 1.
Highest Common Factor of 355,294,164,47 is 1
Step 1: Since 355 > 294, we apply the division lemma to 355 and 294, to get
355 = 294 x 1 + 61
Step 2: Since the reminder 294 ≠ 0, we apply division lemma to 61 and 294, to get
294 = 61 x 4 + 50
Step 3: We consider the new divisor 61 and the new remainder 50, and apply the division lemma to get
61 = 50 x 1 + 11
We consider the new divisor 50 and the new remainder 11,and apply the division lemma to get
50 = 11 x 4 + 6
We consider the new divisor 11 and the new remainder 6,and apply the division lemma to get
11 = 6 x 1 + 5
We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get
6 = 5 x 1 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 355 and 294 is 1
Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(11,6) = HCF(50,11) = HCF(61,50) = HCF(294,61) = HCF(355,294) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 164 > 1, we apply the division lemma to 164 and 1, to get
164 = 1 x 164 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 164 is 1
Notice that 1 = HCF(164,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 47 > 1, we apply the division lemma to 47 and 1, to get
47 = 1 x 47 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 47 is 1
Notice that 1 = HCF(47,1) .
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Frequently Asked Questions on HCF of 355, 294, 164, 47 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 355, 294, 164, 47?
Answer: HCF of 355, 294, 164, 47 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 355, 294, 164, 47 using Euclid's Algorithm?
Answer: For arbitrary numbers 355, 294, 164, 47 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.