Highest Common Factor of 1442, 6553 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, 6553 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1442, 6553 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, 6553 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, 6553 is 1.
HCF(1442, 6553) = 1
HCF of 1442, 6553 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, 6553 is 1.
Highest Common Factor of 1442,6553 is 1
Step 1: Since 6553 > 1442, we apply the division lemma to 6553 and 1442, to get
6553 = 1442 x 4 + 785
Step 2: Since the reminder 1442 ≠ 0, we apply division lemma to 785 and 1442, to get
1442 = 785 x 1 + 657
Step 3: We consider the new divisor 785 and the new remainder 657, and apply the division lemma to get
785 = 657 x 1 + 128
We consider the new divisor 657 and the new remainder 128,and apply the division lemma to get
657 = 128 x 5 + 17
We consider the new divisor 128 and the new remainder 17,and apply the division lemma to get
128 = 17 x 7 + 9
We consider the new divisor 17 and the new remainder 9,and apply the division lemma to get
17 = 9 x 1 + 8
We consider the new divisor 9 and the new remainder 8,and apply the division lemma to get
9 = 8 x 1 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1442 and 6553 is 1
Notice that 1 = HCF(8,1) = HCF(9,8) = HCF(17,9) = HCF(128,17) = HCF(657,128) = HCF(785,657) = HCF(1442,785) = HCF(6553,1442) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 1442, 6553 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, 6553?
Answer: HCF of 1442, 6553 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1442, 6553 using Euclid's Algorithm?
Answer: For arbitrary numbers 1442, 6553 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.