Highest Common Factor of 158, 901, 344, 194 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 158, 901, 344, 194 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 158, 901, 344, 194 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 158, 901, 344, 194 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 158, 901, 344, 194 is 1.
HCF(158, 901, 344, 194) = 1
HCF of 158, 901, 344, 194 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 158, 901, 344, 194 is 1.
Highest Common Factor of 158,901,344,194 is 1
Step 1: Since 901 > 158, we apply the division lemma to 901 and 158, to get
901 = 158 x 5 + 111
Step 2: Since the reminder 158 ≠ 0, we apply division lemma to 111 and 158, to get
158 = 111 x 1 + 47
Step 3: We consider the new divisor 111 and the new remainder 47, and apply the division lemma to get
111 = 47 x 2 + 17
We consider the new divisor 47 and the new remainder 17,and apply the division lemma to get
47 = 17 x 2 + 13
We consider the new divisor 17 and the new remainder 13,and apply the division lemma to get
17 = 13 x 1 + 4
We consider the new divisor 13 and the new remainder 4,and apply the division lemma to get
13 = 4 x 3 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 158 and 901 is 1
Notice that 1 = HCF(4,1) = HCF(13,4) = HCF(17,13) = HCF(47,17) = HCF(111,47) = HCF(158,111) = HCF(901,158) .
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) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 194 > 1, we apply the division lemma to 194 and 1, to get
194 = 1 x 194 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 194 is 1
Notice that 1 = HCF(194,1) .
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Frequently Asked Questions on HCF of 158, 901, 344, 194 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 158, 901, 344, 194?
Answer: HCF of 158, 901, 344, 194 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 158, 901, 344, 194 using Euclid's Algorithm?
Answer: For arbitrary numbers 158, 901, 344, 194 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.