Highest Common Factor of 736, 478, 330, 534 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 736, 478, 330, 534 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 736, 478, 330, 534 is 2 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 736, 478, 330, 534 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 736, 478, 330, 534 is 2.
HCF(736, 478, 330, 534) = 2
HCF of 736, 478, 330, 534 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 736, 478, 330, 534 is 2.
Highest Common Factor of 736,478,330,534 is 2
Step 1: Since 736 > 478, we apply the division lemma to 736 and 478, to get
736 = 478 x 1 + 258
Step 2: Since the reminder 478 ≠ 0, we apply division lemma to 258 and 478, to get
478 = 258 x 1 + 220
Step 3: We consider the new divisor 258 and the new remainder 220, and apply the division lemma to get
258 = 220 x 1 + 38
We consider the new divisor 220 and the new remainder 38,and apply the division lemma to get
220 = 38 x 5 + 30
We consider the new divisor 38 and the new remainder 30,and apply the division lemma to get
38 = 30 x 1 + 8
We consider the new divisor 30 and the new remainder 8,and apply the division lemma to get
30 = 8 x 3 + 6
We consider the new divisor 8 and the new remainder 6,and apply the division lemma to get
8 = 6 x 1 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 736 and 478 is 2
Notice that 2 = HCF(6,2) = HCF(8,6) = HCF(30,8) = HCF(38,30) = HCF(220,38) = HCF(258,220) = HCF(478,258) = HCF(736,478) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 330 > 2, we apply the division lemma to 330 and 2, to get
330 = 2 x 165 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 330 is 2
Notice that 2 = HCF(330,2) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 534 > 2, we apply the division lemma to 534 and 2, to get
534 = 2 x 267 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 534 is 2
Notice that 2 = HCF(534,2) .
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Frequently Asked Questions on HCF of 736, 478, 330, 534 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 736, 478, 330, 534?
Answer: HCF of 736, 478, 330, 534 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 736, 478, 330, 534 using Euclid's Algorithm?
Answer: For arbitrary numbers 736, 478, 330, 534 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.