Highest Common Factor of 5112, 3542 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 5112, 3542 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 5112, 3542 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 5112, 3542 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 5112, 3542 is 2.
HCF(5112, 3542) = 2
HCF of 5112, 3542 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5112, 3542 is 2.
Highest Common Factor of 5112,3542 is 2
Step 1: Since 5112 > 3542, we apply the division lemma to 5112 and 3542, to get
5112 = 3542 x 1 + 1570
Step 2: Since the reminder 3542 ≠ 0, we apply division lemma to 1570 and 3542, to get
3542 = 1570 x 2 + 402
Step 3: We consider the new divisor 1570 and the new remainder 402, and apply the division lemma to get
1570 = 402 x 3 + 364
We consider the new divisor 402 and the new remainder 364,and apply the division lemma to get
402 = 364 x 1 + 38
We consider the new divisor 364 and the new remainder 38,and apply the division lemma to get
364 = 38 x 9 + 22
We consider the new divisor 38 and the new remainder 22,and apply the division lemma to get
38 = 22 x 1 + 16
We consider the new divisor 22 and the new remainder 16,and apply the division lemma to get
22 = 16 x 1 + 6
We consider the new divisor 16 and the new remainder 6,and apply the division lemma to get
16 = 6 x 2 + 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 5112 and 3542 is 2
Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(16,6) = HCF(22,16) = HCF(38,22) = HCF(364,38) = HCF(402,364) = HCF(1570,402) = HCF(3542,1570) = HCF(5112,3542) .
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Frequently Asked Questions on HCF of 5112, 3542 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 5112, 3542?
Answer: HCF of 5112, 3542 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5112, 3542 using Euclid's Algorithm?
Answer: For arbitrary numbers 5112, 3542 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.