Highest Common Factor of 897, 117, 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 897, 117, 767 i.e. 13 the largest integer that leaves a remainder zero for all numbers.
HCF of 897, 117, 767 is 13 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 897, 117, 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 897, 117, 767 is 13.
HCF(897, 117, 767) = 13
HCF of 897, 117, 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 897, 117, 767 is 13.
Highest Common Factor of 897,117,767 is 13
Step 1: Since 897 > 117, we apply the division lemma to 897 and 117, to get
897 = 117 x 7 + 78
Step 2: Since the reminder 117 ≠ 0, we apply division lemma to 78 and 117, to get
117 = 78 x 1 + 39
Step 3: We consider the new divisor 78 and the new remainder 39, and apply the division lemma to get
78 = 39 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 39, the HCF of 897 and 117 is 39
Notice that 39 = HCF(78,39) = HCF(117,78) = HCF(897,117) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 767 > 39, we apply the division lemma to 767 and 39, to get
767 = 39 x 19 + 26
Step 2: Since the reminder 39 ≠ 0, we apply division lemma to 26 and 39, to get
39 = 26 x 1 + 13
Step 3: We consider the new divisor 26 and the new remainder 13, and apply the division lemma to get
26 = 13 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 13, the HCF of 39 and 767 is 13
Notice that 13 = HCF(26,13) = HCF(39,26) = HCF(767,39) .
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Frequently Asked Questions on HCF of 897, 117, 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 897, 117, 767?
Answer: HCF of 897, 117, 767 is 13 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 897, 117, 767 using Euclid's Algorithm?
Answer: For arbitrary numbers 897, 117, 767 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.