Highest Common Factor of 1516, 967 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 1516, 967 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1516, 967 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 1516, 967 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 1516, 967 is 1.
HCF(1516, 967) = 1
HCF of 1516, 967 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1516, 967 is 1.
Highest Common Factor of 1516,967 is 1
Step 1: Since 1516 > 967, we apply the division lemma to 1516 and 967, to get
1516 = 967 x 1 + 549
Step 2: Since the reminder 967 ≠ 0, we apply division lemma to 549 and 967, to get
967 = 549 x 1 + 418
Step 3: We consider the new divisor 549 and the new remainder 418, and apply the division lemma to get
549 = 418 x 1 + 131
We consider the new divisor 418 and the new remainder 131,and apply the division lemma to get
418 = 131 x 3 + 25
We consider the new divisor 131 and the new remainder 25,and apply the division lemma to get
131 = 25 x 5 + 6
We consider the new divisor 25 and the new remainder 6,and apply the division lemma to get
25 = 6 x 4 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1516 and 967 is 1
Notice that 1 = HCF(6,1) = HCF(25,6) = HCF(131,25) = HCF(418,131) = HCF(549,418) = HCF(967,549) = HCF(1516,967) .
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Frequently Asked Questions on HCF of 1516, 967 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 1516, 967?
Answer: HCF of 1516, 967 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1516, 967 using Euclid's Algorithm?
Answer: For arbitrary numbers 1516, 967 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.