Highest Common Factor of 853, 601, 142 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 853, 601, 142 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 853, 601, 142 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 853, 601, 142 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 853, 601, 142 is 1.
HCF(853, 601, 142) = 1
HCF of 853, 601, 142 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 853, 601, 142 is 1.
Highest Common Factor of 853,601,142 is 1
Step 1: Since 853 > 601, we apply the division lemma to 853 and 601, to get
853 = 601 x 1 + 252
Step 2: Since the reminder 601 ≠ 0, we apply division lemma to 252 and 601, to get
601 = 252 x 2 + 97
Step 3: We consider the new divisor 252 and the new remainder 97, and apply the division lemma to get
252 = 97 x 2 + 58
We consider the new divisor 97 and the new remainder 58,and apply the division lemma to get
97 = 58 x 1 + 39
We consider the new divisor 58 and the new remainder 39,and apply the division lemma to get
58 = 39 x 1 + 19
We consider the new divisor 39 and the new remainder 19,and apply the division lemma to get
39 = 19 x 2 + 1
We consider the new divisor 19 and the new remainder 1,and apply the division lemma to get
19 = 1 x 19 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 853 and 601 is 1
Notice that 1 = HCF(19,1) = HCF(39,19) = HCF(58,39) = HCF(97,58) = HCF(252,97) = HCF(601,252) = HCF(853,601) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 142 > 1, we apply the division lemma to 142 and 1, to get
142 = 1 x 142 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 142 is 1
Notice that 1 = HCF(142,1) .
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Frequently Asked Questions on HCF of 853, 601, 142 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 853, 601, 142?
Answer: HCF of 853, 601, 142 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 853, 601, 142 using Euclid's Algorithm?
Answer: For arbitrary numbers 853, 601, 142 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
