Highest Common Factor of 421, 791, 55, 457 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 421, 791, 55, 457 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 421, 791, 55, 457 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 421, 791, 55, 457 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 421, 791, 55, 457 is 1.
HCF(421, 791, 55, 457) = 1
HCF of 421, 791, 55, 457 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 421, 791, 55, 457 is 1.
Highest Common Factor of 421,791,55,457 is 1
Step 1: Since 791 > 421, we apply the division lemma to 791 and 421, to get
791 = 421 x 1 + 370
Step 2: Since the reminder 421 ≠ 0, we apply division lemma to 370 and 421, to get
421 = 370 x 1 + 51
Step 3: We consider the new divisor 370 and the new remainder 51, and apply the division lemma to get
370 = 51 x 7 + 13
We consider the new divisor 51 and the new remainder 13,and apply the division lemma to get
51 = 13 x 3 + 12
We consider the new divisor 13 and the new remainder 12,and apply the division lemma to get
13 = 12 x 1 + 1
We consider the new divisor 12 and the new remainder 1,and apply the division lemma to get
12 = 1 x 12 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 421 and 791 is 1
Notice that 1 = HCF(12,1) = HCF(13,12) = HCF(51,13) = HCF(370,51) = HCF(421,370) = HCF(791,421) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 55 > 1, we apply the division lemma to 55 and 1, to get
55 = 1 x 55 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 55 is 1
Notice that 1 = HCF(55,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 457 > 1, we apply the division lemma to 457 and 1, to get
457 = 1 x 457 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 457 is 1
Notice that 1 = HCF(457,1) .
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Frequently Asked Questions on HCF of 421, 791, 55, 457 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 421, 791, 55, 457?
Answer: HCF of 421, 791, 55, 457 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 421, 791, 55, 457 using Euclid's Algorithm?
Answer: For arbitrary numbers 421, 791, 55, 457 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.