Highest Common Factor of 481, 771 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 481, 771 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 481, 771 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 481, 771 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 481, 771 is 1.
HCF(481, 771) = 1
HCF of 481, 771 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 481, 771 is 1.
Highest Common Factor of 481,771 is 1
Step 1: Since 771 > 481, we apply the division lemma to 771 and 481, to get
771 = 481 x 1 + 290
Step 2: Since the reminder 481 ≠ 0, we apply division lemma to 290 and 481, to get
481 = 290 x 1 + 191
Step 3: We consider the new divisor 290 and the new remainder 191, and apply the division lemma to get
290 = 191 x 1 + 99
We consider the new divisor 191 and the new remainder 99,and apply the division lemma to get
191 = 99 x 1 + 92
We consider the new divisor 99 and the new remainder 92,and apply the division lemma to get
99 = 92 x 1 + 7
We consider the new divisor 92 and the new remainder 7,and apply the division lemma to get
92 = 7 x 13 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 481 and 771 is 1
Notice that 1 = HCF(7,1) = HCF(92,7) = HCF(99,92) = HCF(191,99) = HCF(290,191) = HCF(481,290) = HCF(771,481) .
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Frequently Asked Questions on HCF of 481, 771 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 481, 771?
Answer: HCF of 481, 771 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 481, 771 using Euclid's Algorithm?
Answer: For arbitrary numbers 481, 771 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.