Highest Common Factor of 450, 791, 641, 325 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 450, 791, 641, 325 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 450, 791, 641, 325 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 450, 791, 641, 325 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 450, 791, 641, 325 is 1.
HCF(450, 791, 641, 325) = 1
HCF of 450, 791, 641, 325 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 450, 791, 641, 325 is 1.
Highest Common Factor of 450,791,641,325 is 1
Step 1: Since 791 > 450, we apply the division lemma to 791 and 450, to get
791 = 450 x 1 + 341
Step 2: Since the reminder 450 ≠ 0, we apply division lemma to 341 and 450, to get
450 = 341 x 1 + 109
Step 3: We consider the new divisor 341 and the new remainder 109, and apply the division lemma to get
341 = 109 x 3 + 14
We consider the new divisor 109 and the new remainder 14,and apply the division lemma to get
109 = 14 x 7 + 11
We consider the new divisor 14 and the new remainder 11,and apply the division lemma to get
14 = 11 x 1 + 3
We consider the new divisor 11 and the new remainder 3,and apply the division lemma to get
11 = 3 x 3 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma 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 450 and 791 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(11,3) = HCF(14,11) = HCF(109,14) = HCF(341,109) = HCF(450,341) = HCF(791,450) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 641 > 1, we apply the division lemma to 641 and 1, to get
641 = 1 x 641 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 641 is 1
Notice that 1 = HCF(641,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 325 > 1, we apply the division lemma to 325 and 1, to get
325 = 1 x 325 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 325 is 1
Notice that 1 = HCF(325,1) .
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Frequently Asked Questions on HCF of 450, 791, 641, 325 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 450, 791, 641, 325?
Answer: HCF of 450, 791, 641, 325 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 450, 791, 641, 325 using Euclid's Algorithm?
Answer: For arbitrary numbers 450, 791, 641, 325 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
