Highest Common Factor of 927, 767 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 927, 767 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 927, 767 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 927, 767 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 927, 767 is 1.
HCF(927, 767) = 1
HCF of 927, 767 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 927, 767 is 1.
Highest Common Factor of 927,767 is 1
Step 1: Since 927 > 767, we apply the division lemma to 927 and 767, to get
927 = 767 x 1 + 160
Step 2: Since the reminder 767 ≠ 0, we apply division lemma to 160 and 767, to get
767 = 160 x 4 + 127
Step 3: We consider the new divisor 160 and the new remainder 127, and apply the division lemma to get
160 = 127 x 1 + 33
We consider the new divisor 127 and the new remainder 33,and apply the division lemma to get
127 = 33 x 3 + 28
We consider the new divisor 33 and the new remainder 28,and apply the division lemma to get
33 = 28 x 1 + 5
We consider the new divisor 28 and the new remainder 5,and apply the division lemma to get
28 = 5 x 5 + 3
We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get
5 = 3 x 1 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 927 and 767 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(28,5) = HCF(33,28) = HCF(127,33) = HCF(160,127) = HCF(767,160) = HCF(927,767) .
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Frequently Asked Questions on HCF of 927, 767 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 927, 767?
Answer: HCF of 927, 767 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 927, 767 using Euclid's Algorithm?
Answer: For arbitrary numbers 927, 767 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
