Highest Common Factor of 5451, 1242 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 5451, 1242 i.e. 69 the largest integer that leaves a remainder zero for all numbers.
HCF of 5451, 1242 is 69 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 5451, 1242 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 5451, 1242 is 69.
HCF(5451, 1242) = 69
HCF of 5451, 1242 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5451, 1242 is 69.
Highest Common Factor of 5451,1242 is 69
Step 1: Since 5451 > 1242, we apply the division lemma to 5451 and 1242, to get
5451 = 1242 x 4 + 483
Step 2: Since the reminder 1242 ≠ 0, we apply division lemma to 483 and 1242, to get
1242 = 483 x 2 + 276
Step 3: We consider the new divisor 483 and the new remainder 276, and apply the division lemma to get
483 = 276 x 1 + 207
We consider the new divisor 276 and the new remainder 207,and apply the division lemma to get
276 = 207 x 1 + 69
We consider the new divisor 207 and the new remainder 69,and apply the division lemma to get
207 = 69 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 69, the HCF of 5451 and 1242 is 69
Notice that 69 = HCF(207,69) = HCF(276,207) = HCF(483,276) = HCF(1242,483) = HCF(5451,1242) .
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Frequently Asked Questions on HCF of 5451, 1242 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 5451, 1242?
Answer: HCF of 5451, 1242 is 69 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5451, 1242 using Euclid's Algorithm?
Answer: For arbitrary numbers 5451, 1242 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.