Highest Common Factor of 746, 437, 83 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 746, 437, 83 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 746, 437, 83 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 746, 437, 83 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 746, 437, 83 is 1.
HCF(746, 437, 83) = 1
HCF of 746, 437, 83 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 746, 437, 83 is 1.
Highest Common Factor of 746,437,83 is 1
Step 1: Since 746 > 437, we apply the division lemma to 746 and 437, to get
746 = 437 x 1 + 309
Step 2: Since the reminder 437 ≠ 0, we apply division lemma to 309 and 437, to get
437 = 309 x 1 + 128
Step 3: We consider the new divisor 309 and the new remainder 128, and apply the division lemma to get
309 = 128 x 2 + 53
We consider the new divisor 128 and the new remainder 53,and apply the division lemma to get
128 = 53 x 2 + 22
We consider the new divisor 53 and the new remainder 22,and apply the division lemma to get
53 = 22 x 2 + 9
We consider the new divisor 22 and the new remainder 9,and apply the division lemma to get
22 = 9 x 2 + 4
We consider the new divisor 9 and the new remainder 4,and apply the division lemma to get
9 = 4 x 2 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 746 and 437 is 1
Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(22,9) = HCF(53,22) = HCF(128,53) = HCF(309,128) = HCF(437,309) = HCF(746,437) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 83 > 1, we apply the division lemma to 83 and 1, to get
83 = 1 x 83 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 83 is 1
Notice that 1 = HCF(83,1) .
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Frequently Asked Questions on HCF of 746, 437, 83 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 746, 437, 83?
Answer: HCF of 746, 437, 83 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 746, 437, 83 using Euclid's Algorithm?
Answer: For arbitrary numbers 746, 437, 83 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
