Highest Common Factor of 976, 597, 746 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 976, 597, 746 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 976, 597, 746 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 976, 597, 746 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 976, 597, 746 is 1.
HCF(976, 597, 746) = 1
HCF of 976, 597, 746 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 976, 597, 746 is 1.
Highest Common Factor of 976,597,746 is 1
Step 1: Since 976 > 597, we apply the division lemma to 976 and 597, to get
976 = 597 x 1 + 379
Step 2: Since the reminder 597 ≠ 0, we apply division lemma to 379 and 597, to get
597 = 379 x 1 + 218
Step 3: We consider the new divisor 379 and the new remainder 218, and apply the division lemma to get
379 = 218 x 1 + 161
We consider the new divisor 218 and the new remainder 161,and apply the division lemma to get
218 = 161 x 1 + 57
We consider the new divisor 161 and the new remainder 57,and apply the division lemma to get
161 = 57 x 2 + 47
We consider the new divisor 57 and the new remainder 47,and apply the division lemma to get
57 = 47 x 1 + 10
We consider the new divisor 47 and the new remainder 10,and apply the division lemma to get
47 = 10 x 4 + 7
We consider the new divisor 10 and the new remainder 7,and apply the division lemma to get
10 = 7 x 1 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 976 and 597 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(10,7) = HCF(47,10) = HCF(57,47) = HCF(161,57) = HCF(218,161) = HCF(379,218) = HCF(597,379) = HCF(976,597) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 746 > 1, we apply the division lemma to 746 and 1, to get
746 = 1 x 746 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 746 is 1
Notice that 1 = HCF(746,1) .
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Frequently Asked Questions on HCF of 976, 597, 746 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 976, 597, 746?
Answer: HCF of 976, 597, 746 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 976, 597, 746 using Euclid's Algorithm?
Answer: For arbitrary numbers 976, 597, 746 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.