Highest Common Factor of 734, 476 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 734, 476 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 734, 476 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 734, 476 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 734, 476 is 2.
HCF(734, 476) = 2
HCF of 734, 476 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 734, 476 is 2.
Highest Common Factor of 734,476 is 2
Step 1: Since 734 > 476, we apply the division lemma to 734 and 476, to get
734 = 476 x 1 + 258
Step 2: Since the reminder 476 ≠ 0, we apply division lemma to 258 and 476, to get
476 = 258 x 1 + 218
Step 3: We consider the new divisor 258 and the new remainder 218, and apply the division lemma to get
258 = 218 x 1 + 40
We consider the new divisor 218 and the new remainder 40,and apply the division lemma to get
218 = 40 x 5 + 18
We consider the new divisor 40 and the new remainder 18,and apply the division lemma to get
40 = 18 x 2 + 4
We consider the new divisor 18 and the new remainder 4,and apply the division lemma to get
18 = 4 x 4 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 734 and 476 is 2
Notice that 2 = HCF(4,2) = HCF(18,4) = HCF(40,18) = HCF(218,40) = HCF(258,218) = HCF(476,258) = HCF(734,476) .
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Frequently Asked Questions on HCF of 734, 476 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 734, 476?
Answer: HCF of 734, 476 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 734, 476 using Euclid's Algorithm?
Answer: For arbitrary numbers 734, 476 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.