Highest Common Factor of 685, 927 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 685, 927 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 685, 927 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 685, 927 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 685, 927 is 1.
HCF(685, 927) = 1
HCF of 685, 927 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 685, 927 is 1.
Highest Common Factor of 685,927 is 1
Step 1: Since 927 > 685, we apply the division lemma to 927 and 685, to get
927 = 685 x 1 + 242
Step 2: Since the reminder 685 ≠ 0, we apply division lemma to 242 and 685, to get
685 = 242 x 2 + 201
Step 3: We consider the new divisor 242 and the new remainder 201, and apply the division lemma to get
242 = 201 x 1 + 41
We consider the new divisor 201 and the new remainder 41,and apply the division lemma to get
201 = 41 x 4 + 37
We consider the new divisor 41 and the new remainder 37,and apply the division lemma to get
41 = 37 x 1 + 4
We consider the new divisor 37 and the new remainder 4,and apply the division lemma to get
37 = 4 x 9 + 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 685 and 927 is 1
Notice that 1 = HCF(4,1) = HCF(37,4) = HCF(41,37) = HCF(201,41) = HCF(242,201) = HCF(685,242) = HCF(927,685) .
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Frequently Asked Questions on HCF of 685, 927 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 685, 927?
Answer: HCF of 685, 927 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 685, 927 using Euclid's Algorithm?
Answer: For arbitrary numbers 685, 927 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.