Highest Common Factor of 142, 477, 346, 369 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 142, 477, 346, 369 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 142, 477, 346, 369 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 142, 477, 346, 369 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 142, 477, 346, 369 is 1.
HCF(142, 477, 346, 369) = 1
HCF of 142, 477, 346, 369 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 142, 477, 346, 369 is 1.
Highest Common Factor of 142,477,346,369 is 1
Step 1: Since 477 > 142, we apply the division lemma to 477 and 142, to get
477 = 142 x 3 + 51
Step 2: Since the reminder 142 ≠ 0, we apply division lemma to 51 and 142, to get
142 = 51 x 2 + 40
Step 3: We consider the new divisor 51 and the new remainder 40, and apply the division lemma to get
51 = 40 x 1 + 11
We consider the new divisor 40 and the new remainder 11,and apply the division lemma to get
40 = 11 x 3 + 7
We consider the new divisor 11 and the new remainder 7,and apply the division lemma to get
11 = 7 x 1 + 4
We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get
7 = 4 x 1 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 142 and 477 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(11,7) = HCF(40,11) = HCF(51,40) = HCF(142,51) = HCF(477,142) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 346 > 1, we apply the division lemma to 346 and 1, to get
346 = 1 x 346 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 346 is 1
Notice that 1 = HCF(346,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 369 > 1, we apply the division lemma to 369 and 1, to get
369 = 1 x 369 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 369 is 1
Notice that 1 = HCF(369,1) .
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Frequently Asked Questions on HCF of 142, 477, 346, 369 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 142, 477, 346, 369?
Answer: HCF of 142, 477, 346, 369 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 142, 477, 346, 369 using Euclid's Algorithm?
Answer: For arbitrary numbers 142, 477, 346, 369 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.