Highest Common Factor of 989, 715, 764 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 989, 715, 764 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 989, 715, 764 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 989, 715, 764 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 989, 715, 764 is 1.
HCF(989, 715, 764) = 1
HCF of 989, 715, 764 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 989, 715, 764 is 1.
Highest Common Factor of 989,715,764 is 1
Step 1: Since 989 > 715, we apply the division lemma to 989 and 715, to get
989 = 715 x 1 + 274
Step 2: Since the reminder 715 ≠ 0, we apply division lemma to 274 and 715, to get
715 = 274 x 2 + 167
Step 3: We consider the new divisor 274 and the new remainder 167, and apply the division lemma to get
274 = 167 x 1 + 107
We consider the new divisor 167 and the new remainder 107,and apply the division lemma to get
167 = 107 x 1 + 60
We consider the new divisor 107 and the new remainder 60,and apply the division lemma to get
107 = 60 x 1 + 47
We consider the new divisor 60 and the new remainder 47,and apply the division lemma to get
60 = 47 x 1 + 13
We consider the new divisor 47 and the new remainder 13,and apply the division lemma to get
47 = 13 x 3 + 8
We consider the new divisor 13 and the new remainder 8,and apply the division lemma to get
13 = 8 x 1 + 5
We consider the new divisor 8 and the new remainder 5,and apply the division lemma to get
8 = 5 x 1 + 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 989 and 715 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(8,5) = HCF(13,8) = HCF(47,13) = HCF(60,47) = HCF(107,60) = HCF(167,107) = HCF(274,167) = HCF(715,274) = HCF(989,715) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 764 > 1, we apply the division lemma to 764 and 1, to get
764 = 1 x 764 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 764 is 1
Notice that 1 = HCF(764,1) .
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Frequently Asked Questions on HCF of 989, 715, 764 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 989, 715, 764?
Answer: HCF of 989, 715, 764 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 989, 715, 764 using Euclid's Algorithm?
Answer: For arbitrary numbers 989, 715, 764 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
