Highest Common Factor of 842, 4465 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 842, 4465 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 842, 4465 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 842, 4465 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 842, 4465 is 1.
HCF(842, 4465) = 1
HCF of 842, 4465 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 842, 4465 is 1.
Highest Common Factor of 842,4465 is 1
Step 1: Since 4465 > 842, we apply the division lemma to 4465 and 842, to get
4465 = 842 x 5 + 255
Step 2: Since the reminder 842 ≠ 0, we apply division lemma to 255 and 842, to get
842 = 255 x 3 + 77
Step 3: We consider the new divisor 255 and the new remainder 77, and apply the division lemma to get
255 = 77 x 3 + 24
We consider the new divisor 77 and the new remainder 24,and apply the division lemma to get
77 = 24 x 3 + 5
We consider the new divisor 24 and the new remainder 5,and apply the division lemma to get
24 = 5 x 4 + 4
We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get
5 = 4 x 1 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 842 and 4465 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(24,5) = HCF(77,24) = HCF(255,77) = HCF(842,255) = HCF(4465,842) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 842, 4465 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 842, 4465?
Answer: HCF of 842, 4465 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 842, 4465 using Euclid's Algorithm?
Answer: For arbitrary numbers 842, 4465 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.