Highest Common Factor of 441, 854, 782 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 441, 854, 782 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 441, 854, 782 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 441, 854, 782 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 441, 854, 782 is 1.
HCF(441, 854, 782) = 1
HCF of 441, 854, 782 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 441, 854, 782 is 1.
Highest Common Factor of 441,854,782 is 1
Step 1: Since 854 > 441, we apply the division lemma to 854 and 441, to get
854 = 441 x 1 + 413
Step 2: Since the reminder 441 ≠ 0, we apply division lemma to 413 and 441, to get
441 = 413 x 1 + 28
Step 3: We consider the new divisor 413 and the new remainder 28, and apply the division lemma to get
413 = 28 x 14 + 21
We consider the new divisor 28 and the new remainder 21,and apply the division lemma to get
28 = 21 x 1 + 7
We consider the new divisor 21 and the new remainder 7,and apply the division lemma to get
21 = 7 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 441 and 854 is 7
Notice that 7 = HCF(21,7) = HCF(28,21) = HCF(413,28) = HCF(441,413) = HCF(854,441) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 782 > 7, we apply the division lemma to 782 and 7, to get
782 = 7 x 111 + 5
Step 2: Since the reminder 7 ≠ 0, we apply division lemma to 5 and 7, to get
7 = 5 x 1 + 2
Step 3: We consider the new divisor 5 and the new remainder 2, and apply the division lemma to get
5 = 2 x 2 + 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 7 and 782 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(782,7) .
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Frequently Asked Questions on HCF of 441, 854, 782 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 441, 854, 782?
Answer: HCF of 441, 854, 782 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 441, 854, 782 using Euclid's Algorithm?
Answer: For arbitrary numbers 441, 854, 782 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
