Highest Common Factor of 721, 3526, 7917 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, 3526, 7917 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 721, 3526, 7917 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, 3526, 7917 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, 3526, 7917 is 1.
HCF(721, 3526, 7917) = 1
HCF of 721, 3526, 7917 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, 3526, 7917 is 1.
Highest Common Factor of 721,3526,7917 is 1
Step 1: Since 3526 > 721, we apply the division lemma to 3526 and 721, to get
3526 = 721 x 4 + 642
Step 2: Since the reminder 721 ≠ 0, we apply division lemma to 642 and 721, to get
721 = 642 x 1 + 79
Step 3: We consider the new divisor 642 and the new remainder 79, and apply the division lemma to get
642 = 79 x 8 + 10
We consider the new divisor 79 and the new remainder 10,and apply the division lemma to get
79 = 10 x 7 + 9
We consider the new divisor 10 and the new remainder 9,and apply the division lemma to get
10 = 9 x 1 + 1
We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get
9 = 1 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 721 and 3526 is 1
Notice that 1 = HCF(9,1) = HCF(10,9) = HCF(79,10) = HCF(642,79) = HCF(721,642) = HCF(3526,721) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 7917 > 1, we apply the division lemma to 7917 and 1, to get
7917 = 1 x 7917 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 7917 is 1
Notice that 1 = HCF(7917,1) .
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Frequently Asked Questions on HCF of 721, 3526, 7917 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, 3526, 7917?
Answer: HCF of 721, 3526, 7917 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 721, 3526, 7917 using Euclid's Algorithm?
Answer: For arbitrary numbers 721, 3526, 7917 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.