Highest Common Factor of 757, 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 757, 477 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 757, 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 757, 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 757, 477 is 1.
HCF(757, 477) = 1
HCF of 757, 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 757, 477 is 1.
Highest Common Factor of 757,477 is 1
Step 1: Since 757 > 477, we apply the division lemma to 757 and 477, to get
757 = 477 x 1 + 280
Step 2: Since the reminder 477 ≠ 0, we apply division lemma to 280 and 477, to get
477 = 280 x 1 + 197
Step 3: We consider the new divisor 280 and the new remainder 197, and apply the division lemma to get
280 = 197 x 1 + 83
We consider the new divisor 197 and the new remainder 83,and apply the division lemma to get
197 = 83 x 2 + 31
We consider the new divisor 83 and the new remainder 31,and apply the division lemma to get
83 = 31 x 2 + 21
We consider the new divisor 31 and the new remainder 21,and apply the division lemma to get
31 = 21 x 1 + 10
We consider the new divisor 21 and the new remainder 10,and apply the division lemma to get
21 = 10 x 2 + 1
We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get
10 = 1 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 757 and 477 is 1
Notice that 1 = HCF(10,1) = HCF(21,10) = HCF(31,21) = HCF(83,31) = HCF(197,83) = HCF(280,197) = HCF(477,280) = HCF(757,477) .
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Frequently Asked Questions on HCF of 757, 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 757, 477?
Answer: HCF of 757, 477 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 757, 477 using Euclid's Algorithm?
Answer: For arbitrary numbers 757, 477 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.