Highest Common Factor of 485, 842, 842 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 485, 842, 842 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 485, 842, 842 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 485, 842, 842 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 485, 842, 842 is 1.
HCF(485, 842, 842) = 1
HCF of 485, 842, 842 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 485, 842, 842 is 1.
Highest Common Factor of 485,842,842 is 1
Step 1: Since 842 > 485, we apply the division lemma to 842 and 485, to get
842 = 485 x 1 + 357
Step 2: Since the reminder 485 ≠ 0, we apply division lemma to 357 and 485, to get
485 = 357 x 1 + 128
Step 3: We consider the new divisor 357 and the new remainder 128, and apply the division lemma to get
357 = 128 x 2 + 101
We consider the new divisor 128 and the new remainder 101,and apply the division lemma to get
128 = 101 x 1 + 27
We consider the new divisor 101 and the new remainder 27,and apply the division lemma to get
101 = 27 x 3 + 20
We consider the new divisor 27 and the new remainder 20,and apply the division lemma to get
27 = 20 x 1 + 7
We consider the new divisor 20 and the new remainder 7,and apply the division lemma to get
20 = 7 x 2 + 6
We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get
7 = 6 x 1 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 485 and 842 is 1
Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(20,7) = HCF(27,20) = HCF(101,27) = HCF(128,101) = HCF(357,128) = HCF(485,357) = HCF(842,485) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 842 > 1, we apply the division lemma to 842 and 1, to get
842 = 1 x 842 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 842 is 1
Notice that 1 = HCF(842,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 485, 842, 842 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 485, 842, 842?
Answer: HCF of 485, 842, 842 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 485, 842, 842 using Euclid's Algorithm?
Answer: For arbitrary numbers 485, 842, 842 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.