Highest Common Factor of 880, 1716, 9519 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 880, 1716, 9519 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 880, 1716, 9519 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 880, 1716, 9519 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 880, 1716, 9519 is 1.
HCF(880, 1716, 9519) = 1
HCF of 880, 1716, 9519 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 880, 1716, 9519 is 1.
Highest Common Factor of 880,1716,9519 is 1
Step 1: Since 1716 > 880, we apply the division lemma to 1716 and 880, to get
1716 = 880 x 1 + 836
Step 2: Since the reminder 880 ≠ 0, we apply division lemma to 836 and 880, to get
880 = 836 x 1 + 44
Step 3: We consider the new divisor 836 and the new remainder 44, and apply the division lemma to get
836 = 44 x 19 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 44, the HCF of 880 and 1716 is 44
Notice that 44 = HCF(836,44) = HCF(880,836) = HCF(1716,880) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 9519 > 44, we apply the division lemma to 9519 and 44, to get
9519 = 44 x 216 + 15
Step 2: Since the reminder 44 ≠ 0, we apply division lemma to 15 and 44, to get
44 = 15 x 2 + 14
Step 3: We consider the new divisor 15 and the new remainder 14, and apply the division lemma to get
15 = 14 x 1 + 1
We consider the new divisor 14 and the new remainder 1, and apply the division lemma to get
14 = 1 x 14 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 44 and 9519 is 1
Notice that 1 = HCF(14,1) = HCF(15,14) = HCF(44,15) = HCF(9519,44) .
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Frequently Asked Questions on HCF of 880, 1716, 9519 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 880, 1716, 9519?
Answer: HCF of 880, 1716, 9519 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 880, 1716, 9519 using Euclid's Algorithm?
Answer: For arbitrary numbers 880, 1716, 9519 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
