Highest Common Factor of 917, 76014 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 917, 76014 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 917, 76014 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 917, 76014 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 917, 76014 is 1.
HCF(917, 76014) = 1
HCF of 917, 76014 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 917, 76014 is 1.
Highest Common Factor of 917,76014 is 1
Step 1: Since 76014 > 917, we apply the division lemma to 76014 and 917, to get
76014 = 917 x 82 + 820
Step 2: Since the reminder 917 ≠ 0, we apply division lemma to 820 and 917, to get
917 = 820 x 1 + 97
Step 3: We consider the new divisor 820 and the new remainder 97, and apply the division lemma to get
820 = 97 x 8 + 44
We consider the new divisor 97 and the new remainder 44,and apply the division lemma to get
97 = 44 x 2 + 9
We consider the new divisor 44 and the new remainder 9,and apply the division lemma to get
44 = 9 x 4 + 8
We consider the new divisor 9 and the new remainder 8,and apply the division lemma to get
9 = 8 x 1 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 917 and 76014 is 1
Notice that 1 = HCF(8,1) = HCF(9,8) = HCF(44,9) = HCF(97,44) = HCF(820,97) = HCF(917,820) = HCF(76014,917) .
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Frequently Asked Questions on HCF of 917, 76014 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 917, 76014?
Answer: HCF of 917, 76014 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 917, 76014 using Euclid's Algorithm?
Answer: For arbitrary numbers 917, 76014 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.