Highest Common Factor of 1718, 8980 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 1718, 8980 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 1718, 8980 is 2 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 1718, 8980 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 1718, 8980 is 2.
HCF(1718, 8980) = 2
HCF of 1718, 8980 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1718, 8980 is 2.
Highest Common Factor of 1718,8980 is 2
Step 1: Since 8980 > 1718, we apply the division lemma to 8980 and 1718, to get
8980 = 1718 x 5 + 390
Step 2: Since the reminder 1718 ≠ 0, we apply division lemma to 390 and 1718, to get
1718 = 390 x 4 + 158
Step 3: We consider the new divisor 390 and the new remainder 158, and apply the division lemma to get
390 = 158 x 2 + 74
We consider the new divisor 158 and the new remainder 74,and apply the division lemma to get
158 = 74 x 2 + 10
We consider the new divisor 74 and the new remainder 10,and apply the division lemma to get
74 = 10 x 7 + 4
We consider the new divisor 10 and the new remainder 4,and apply the division lemma to get
10 = 4 x 2 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 1718 and 8980 is 2
Notice that 2 = HCF(4,2) = HCF(10,4) = HCF(74,10) = HCF(158,74) = HCF(390,158) = HCF(1718,390) = HCF(8980,1718) .
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Frequently Asked Questions on HCF of 1718, 8980 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 1718, 8980?
Answer: HCF of 1718, 8980 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1718, 8980 using Euclid's Algorithm?
Answer: For arbitrary numbers 1718, 8980 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.