Highest Common Factor of 721, 280, 501, 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 721, 280, 501, 771 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 721, 280, 501, 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 721, 280, 501, 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 721, 280, 501, 771 is 1.
HCF(721, 280, 501, 771) = 1
HCF of 721, 280, 501, 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 721, 280, 501, 771 is 1.
Highest Common Factor of 721,280,501,771 is 1
Step 1: Since 721 > 280, we apply the division lemma to 721 and 280, to get
721 = 280 x 2 + 161
Step 2: Since the reminder 280 ≠ 0, we apply division lemma to 161 and 280, to get
280 = 161 x 1 + 119
Step 3: We consider the new divisor 161 and the new remainder 119, and apply the division lemma to get
161 = 119 x 1 + 42
We consider the new divisor 119 and the new remainder 42,and apply the division lemma to get
119 = 42 x 2 + 35
We consider the new divisor 42 and the new remainder 35,and apply the division lemma to get
42 = 35 x 1 + 7
We consider the new divisor 35 and the new remainder 7,and apply the division lemma to get
35 = 7 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 721 and 280 is 7
Notice that 7 = HCF(35,7) = HCF(42,35) = HCF(119,42) = HCF(161,119) = HCF(280,161) = HCF(721,280) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 501 > 7, we apply the division lemma to 501 and 7, to get
501 = 7 x 71 + 4
Step 2: Since the reminder 7 ≠ 0, we apply division lemma to 4 and 7, to get
7 = 4 x 1 + 3
Step 3: We consider the new divisor 4 and the new remainder 3, and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1, and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7 and 501 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(501,7) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 771 > 1, we apply the division lemma to 771 and 1, to get
771 = 1 x 771 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 771 is 1
Notice that 1 = HCF(771,1) .
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Frequently Asked Questions on HCF of 721, 280, 501, 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 721, 280, 501, 771?
Answer: HCF of 721, 280, 501, 771 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 721, 280, 501, 771 using Euclid's Algorithm?
Answer: For arbitrary numbers 721, 280, 501, 771 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.