Highest Common Factor of 368, 194, 141, 834 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 368, 194, 141, 834 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 368, 194, 141, 834 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 368, 194, 141, 834 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 368, 194, 141, 834 is 1.
HCF(368, 194, 141, 834) = 1
HCF of 368, 194, 141, 834 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 368, 194, 141, 834 is 1.
Highest Common Factor of 368,194,141,834 is 1
Step 1: Since 368 > 194, we apply the division lemma to 368 and 194, to get
368 = 194 x 1 + 174
Step 2: Since the reminder 194 ≠ 0, we apply division lemma to 174 and 194, to get
194 = 174 x 1 + 20
Step 3: We consider the new divisor 174 and the new remainder 20, and apply the division lemma to get
174 = 20 x 8 + 14
We consider the new divisor 20 and the new remainder 14,and apply the division lemma to get
20 = 14 x 1 + 6
We consider the new divisor 14 and the new remainder 6,and apply the division lemma to get
14 = 6 x 2 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 368 and 194 is 2
Notice that 2 = HCF(6,2) = HCF(14,6) = HCF(20,14) = HCF(174,20) = HCF(194,174) = HCF(368,194) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 141 > 2, we apply the division lemma to 141 and 2, to get
141 = 2 x 70 + 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 141 is 1
Notice that 1 = HCF(2,1) = HCF(141,2) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 834 > 1, we apply the division lemma to 834 and 1, to get
834 = 1 x 834 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 834 is 1
Notice that 1 = HCF(834,1) .
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Frequently Asked Questions on HCF of 368, 194, 141, 834 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 368, 194, 141, 834?
Answer: HCF of 368, 194, 141, 834 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 368, 194, 141, 834 using Euclid's Algorithm?
Answer: For arbitrary numbers 368, 194, 141, 834 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.