Highest Common Factor of 443, 726, 134, 306 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 443, 726, 134, 306 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 443, 726, 134, 306 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 443, 726, 134, 306 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 443, 726, 134, 306 is 1.
HCF(443, 726, 134, 306) = 1
HCF of 443, 726, 134, 306 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 443, 726, 134, 306 is 1.
Highest Common Factor of 443,726,134,306 is 1
Step 1: Since 726 > 443, we apply the division lemma to 726 and 443, to get
726 = 443 x 1 + 283
Step 2: Since the reminder 443 ≠ 0, we apply division lemma to 283 and 443, to get
443 = 283 x 1 + 160
Step 3: We consider the new divisor 283 and the new remainder 160, and apply the division lemma to get
283 = 160 x 1 + 123
We consider the new divisor 160 and the new remainder 123,and apply the division lemma to get
160 = 123 x 1 + 37
We consider the new divisor 123 and the new remainder 37,and apply the division lemma to get
123 = 37 x 3 + 12
We consider the new divisor 37 and the new remainder 12,and apply the division lemma to get
37 = 12 x 3 + 1
We consider the new divisor 12 and the new remainder 1,and apply the division lemma to get
12 = 1 x 12 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 443 and 726 is 1
Notice that 1 = HCF(12,1) = HCF(37,12) = HCF(123,37) = HCF(160,123) = HCF(283,160) = HCF(443,283) = HCF(726,443) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 134 > 1, we apply the division lemma to 134 and 1, to get
134 = 1 x 134 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 134 is 1
Notice that 1 = HCF(134,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 306 > 1, we apply the division lemma to 306 and 1, to get
306 = 1 x 306 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 306 is 1
Notice that 1 = HCF(306,1) .
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Frequently Asked Questions on HCF of 443, 726, 134, 306 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 443, 726, 134, 306?
Answer: HCF of 443, 726, 134, 306 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 443, 726, 134, 306 using Euclid's Algorithm?
Answer: For arbitrary numbers 443, 726, 134, 306 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.