Highest Common Factor of 782, 413, 239, 333 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 782, 413, 239, 333 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 782, 413, 239, 333 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 782, 413, 239, 333 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 782, 413, 239, 333 is 1.
HCF(782, 413, 239, 333) = 1
HCF of 782, 413, 239, 333 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 782, 413, 239, 333 is 1.
Highest Common Factor of 782,413,239,333 is 1
Step 1: Since 782 > 413, we apply the division lemma to 782 and 413, to get
782 = 413 x 1 + 369
Step 2: Since the reminder 413 ≠ 0, we apply division lemma to 369 and 413, to get
413 = 369 x 1 + 44
Step 3: We consider the new divisor 369 and the new remainder 44, and apply the division lemma to get
369 = 44 x 8 + 17
We consider the new divisor 44 and the new remainder 17,and apply the division lemma to get
44 = 17 x 2 + 10
We consider the new divisor 17 and the new remainder 10,and apply the division lemma to get
17 = 10 x 1 + 7
We consider the new divisor 10 and the new remainder 7,and apply the division lemma to get
10 = 7 x 1 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 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 782 and 413 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(10,7) = HCF(17,10) = HCF(44,17) = HCF(369,44) = HCF(413,369) = HCF(782,413) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 239 > 1, we apply the division lemma to 239 and 1, to get
239 = 1 x 239 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 239 is 1
Notice that 1 = HCF(239,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 333 > 1, we apply the division lemma to 333 and 1, to get
333 = 1 x 333 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 333 is 1
Notice that 1 = HCF(333,1) .
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Frequently Asked Questions on HCF of 782, 413, 239, 333 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 782, 413, 239, 333?
Answer: HCF of 782, 413, 239, 333 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 782, 413, 239, 333 using Euclid's Algorithm?
Answer: For arbitrary numbers 782, 413, 239, 333 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.