Highest Common Factor of 845, 664 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 845, 664 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 845, 664 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 845, 664 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 845, 664 is 1.
HCF(845, 664) = 1
HCF of 845, 664 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 845, 664 is 1.
Highest Common Factor of 845,664 is 1
Step 1: Since 845 > 664, we apply the division lemma to 845 and 664, to get
845 = 664 x 1 + 181
Step 2: Since the reminder 664 ≠ 0, we apply division lemma to 181 and 664, to get
664 = 181 x 3 + 121
Step 3: We consider the new divisor 181 and the new remainder 121, and apply the division lemma to get
181 = 121 x 1 + 60
We consider the new divisor 121 and the new remainder 60,and apply the division lemma to get
121 = 60 x 2 + 1
We consider the new divisor 60 and the new remainder 1,and apply the division lemma to get
60 = 1 x 60 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 845 and 664 is 1
Notice that 1 = HCF(60,1) = HCF(121,60) = HCF(181,121) = HCF(664,181) = HCF(845,664) .
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Frequently Asked Questions on HCF of 845, 664 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 845, 664?
Answer: HCF of 845, 664 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 845, 664 using Euclid's Algorithm?
Answer: For arbitrary numbers 845, 664 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.