Highest Common Factor of 1442, 6547, 50896 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 1442, 6547, 50896 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1442, 6547, 50896 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 1442, 6547, 50896 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 1442, 6547, 50896 is 1.
HCF(1442, 6547, 50896) = 1
HCF of 1442, 6547, 50896 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1442, 6547, 50896 is 1.
Highest Common Factor of 1442,6547,50896 is 1
Step 1: Since 6547 > 1442, we apply the division lemma to 6547 and 1442, to get
6547 = 1442 x 4 + 779
Step 2: Since the reminder 1442 ≠ 0, we apply division lemma to 779 and 1442, to get
1442 = 779 x 1 + 663
Step 3: We consider the new divisor 779 and the new remainder 663, and apply the division lemma to get
779 = 663 x 1 + 116
We consider the new divisor 663 and the new remainder 116,and apply the division lemma to get
663 = 116 x 5 + 83
We consider the new divisor 116 and the new remainder 83,and apply the division lemma to get
116 = 83 x 1 + 33
We consider the new divisor 83 and the new remainder 33,and apply the division lemma to get
83 = 33 x 2 + 17
We consider the new divisor 33 and the new remainder 17,and apply the division lemma to get
33 = 17 x 1 + 16
We consider the new divisor 17 and the new remainder 16,and apply the division lemma to get
17 = 16 x 1 + 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 1442 and 6547 is 1
Notice that 1 = HCF(16,1) = HCF(17,16) = HCF(33,17) = HCF(83,33) = HCF(116,83) = HCF(663,116) = HCF(779,663) = HCF(1442,779) = HCF(6547,1442) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 50896 > 1, we apply the division lemma to 50896 and 1, to get
50896 = 1 x 50896 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 50896 is 1
Notice that 1 = HCF(50896,1) .
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Frequently Asked Questions on HCF of 1442, 6547, 50896 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 1442, 6547, 50896?
Answer: HCF of 1442, 6547, 50896 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1442, 6547, 50896 using Euclid's Algorithm?
Answer: For arbitrary numbers 1442, 6547, 50896 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.