Highest Common Factor of 1212, 3546 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 1212, 3546 i.e. 6 the largest integer that leaves a remainder zero for all numbers.
HCF of 1212, 3546 is 6 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 1212, 3546 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 1212, 3546 is 6.
HCF(1212, 3546) = 6
HCF of 1212, 3546 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1212, 3546 is 6.
Highest Common Factor of 1212,3546 is 6
Step 1: Since 3546 > 1212, we apply the division lemma to 3546 and 1212, to get
3546 = 1212 x 2 + 1122
Step 2: Since the reminder 1212 ≠ 0, we apply division lemma to 1122 and 1212, to get
1212 = 1122 x 1 + 90
Step 3: We consider the new divisor 1122 and the new remainder 90, and apply the division lemma to get
1122 = 90 x 12 + 42
We consider the new divisor 90 and the new remainder 42,and apply the division lemma to get
90 = 42 x 2 + 6
We consider the new divisor 42 and the new remainder 6,and apply the division lemma to get
42 = 6 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 6, the HCF of 1212 and 3546 is 6
Notice that 6 = HCF(42,6) = HCF(90,42) = HCF(1122,90) = HCF(1212,1122) = HCF(3546,1212) .
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Frequently Asked Questions on HCF of 1212, 3546 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 1212, 3546?
Answer: HCF of 1212, 3546 is 6 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1212, 3546 using Euclid's Algorithm?
Answer: For arbitrary numbers 1212, 3546 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.