Highest Common Factor of 419, 693, 454, 346 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 419, 693, 454, 346 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 419, 693, 454, 346 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 419, 693, 454, 346 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 419, 693, 454, 346 is 1.
HCF(419, 693, 454, 346) = 1
HCF of 419, 693, 454, 346 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 419, 693, 454, 346 is 1.
Highest Common Factor of 419,693,454,346 is 1
Step 1: Since 693 > 419, we apply the division lemma to 693 and 419, to get
693 = 419 x 1 + 274
Step 2: Since the reminder 419 ≠ 0, we apply division lemma to 274 and 419, to get
419 = 274 x 1 + 145
Step 3: We consider the new divisor 274 and the new remainder 145, and apply the division lemma to get
274 = 145 x 1 + 129
We consider the new divisor 145 and the new remainder 129,and apply the division lemma to get
145 = 129 x 1 + 16
We consider the new divisor 129 and the new remainder 16,and apply the division lemma to get
129 = 16 x 8 + 1
We consider the new divisor 16 and the new remainder 1,and apply the division lemma to get
16 = 1 x 16 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 419 and 693 is 1
Notice that 1 = HCF(16,1) = HCF(129,16) = HCF(145,129) = HCF(274,145) = HCF(419,274) = HCF(693,419) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 454 > 1, we apply the division lemma to 454 and 1, to get
454 = 1 x 454 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 454 is 1
Notice that 1 = HCF(454,1) .
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) .
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Frequently Asked Questions on HCF of 419, 693, 454, 346 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 419, 693, 454, 346?
Answer: HCF of 419, 693, 454, 346 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 419, 693, 454, 346 using Euclid's Algorithm?
Answer: For arbitrary numbers 419, 693, 454, 346 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
