Highest Common Factor of 7517, 7805, 56016 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 7517, 7805, 56016 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7517, 7805, 56016 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 7517, 7805, 56016 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 7517, 7805, 56016 is 1.
HCF(7517, 7805, 56016) = 1
HCF of 7517, 7805, 56016 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7517, 7805, 56016 is 1.
Highest Common Factor of 7517,7805,56016 is 1
Step 1: Since 7805 > 7517, we apply the division lemma to 7805 and 7517, to get
7805 = 7517 x 1 + 288
Step 2: Since the reminder 7517 ≠ 0, we apply division lemma to 288 and 7517, to get
7517 = 288 x 26 + 29
Step 3: We consider the new divisor 288 and the new remainder 29, and apply the division lemma to get
288 = 29 x 9 + 27
We consider the new divisor 29 and the new remainder 27,and apply the division lemma to get
29 = 27 x 1 + 2
We consider the new divisor 27 and the new remainder 2,and apply the division lemma to get
27 = 2 x 13 + 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 7517 and 7805 is 1
Notice that 1 = HCF(2,1) = HCF(27,2) = HCF(29,27) = HCF(288,29) = HCF(7517,288) = HCF(7805,7517) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 56016 > 1, we apply the division lemma to 56016 and 1, to get
56016 = 1 x 56016 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 56016 is 1
Notice that 1 = HCF(56016,1) .
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Frequently Asked Questions on HCF of 7517, 7805, 56016 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 7517, 7805, 56016?
Answer: HCF of 7517, 7805, 56016 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7517, 7805, 56016 using Euclid's Algorithm?
Answer: For arbitrary numbers 7517, 7805, 56016 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.