Highest Common Factor of 734, 477 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, 477 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 734, 477 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 734, 477 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, 477 is 1.
HCF(734, 477) = 1
HCF of 734, 477 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, 477 is 1.
Highest Common Factor of 734,477 is 1
Step 1: Since 734 > 477, we apply the division lemma to 734 and 477, to get
734 = 477 x 1 + 257
Step 2: Since the reminder 477 ≠ 0, we apply division lemma to 257 and 477, to get
477 = 257 x 1 + 220
Step 3: We consider the new divisor 257 and the new remainder 220, and apply the division lemma to get
257 = 220 x 1 + 37
We consider the new divisor 220 and the new remainder 37,and apply the division lemma to get
220 = 37 x 5 + 35
We consider the new divisor 37 and the new remainder 35,and apply the division lemma to get
37 = 35 x 1 + 2
We consider the new divisor 35 and the new remainder 2,and apply the division lemma to get
35 = 2 x 17 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 734 and 477 is 1
Notice that 1 = HCF(2,1) = HCF(35,2) = HCF(37,35) = HCF(220,37) = HCF(257,220) = HCF(477,257) = HCF(734,477) .
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Frequently Asked Questions on HCF of 734, 477 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, 477?
Answer: HCF of 734, 477 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 734, 477 using Euclid's Algorithm?
Answer: For arbitrary numbers 734, 477 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.