Highest Common Factor of 1516, 1146 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, 1146 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 1516, 1146 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 1516, 1146 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, 1146 is 2.
HCF(1516, 1146) = 2
HCF of 1516, 1146 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, 1146 is 2.
Highest Common Factor of 1516,1146 is 2
Step 1: Since 1516 > 1146, we apply the division lemma to 1516 and 1146, to get
1516 = 1146 x 1 + 370
Step 2: Since the reminder 1146 ≠ 0, we apply division lemma to 370 and 1146, to get
1146 = 370 x 3 + 36
Step 3: We consider the new divisor 370 and the new remainder 36, and apply the division lemma to get
370 = 36 x 10 + 10
We consider the new divisor 36 and the new remainder 10,and apply the division lemma to get
36 = 10 x 3 + 6
We consider the new divisor 10 and the new remainder 6,and apply the division lemma to get
10 = 6 x 1 + 4
We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get
6 = 4 x 1 + 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 1516 and 1146 is 2
Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(10,6) = HCF(36,10) = HCF(370,36) = HCF(1146,370) = HCF(1516,1146) .
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Frequently Asked Questions on HCF of 1516, 1146 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, 1146?
Answer: HCF of 1516, 1146 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1516, 1146 using Euclid's Algorithm?
Answer: For arbitrary numbers 1516, 1146 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.