Highest Common Factor of 1450, 6562 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 1450, 6562 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 1450, 6562 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 1450, 6562 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 1450, 6562 is 2.
HCF(1450, 6562) = 2
HCF of 1450, 6562 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1450, 6562 is 2.
Highest Common Factor of 1450,6562 is 2
Step 1: Since 6562 > 1450, we apply the division lemma to 6562 and 1450, to get
6562 = 1450 x 4 + 762
Step 2: Since the reminder 1450 ≠ 0, we apply division lemma to 762 and 1450, to get
1450 = 762 x 1 + 688
Step 3: We consider the new divisor 762 and the new remainder 688, and apply the division lemma to get
762 = 688 x 1 + 74
We consider the new divisor 688 and the new remainder 74,and apply the division lemma to get
688 = 74 x 9 + 22
We consider the new divisor 74 and the new remainder 22,and apply the division lemma to get
74 = 22 x 3 + 8
We consider the new divisor 22 and the new remainder 8,and apply the division lemma to get
22 = 8 x 2 + 6
We consider the new divisor 8 and the new remainder 6,and apply the division lemma to get
8 = 6 x 1 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 1450 and 6562 is 2
Notice that 2 = HCF(6,2) = HCF(8,6) = HCF(22,8) = HCF(74,22) = HCF(688,74) = HCF(762,688) = HCF(1450,762) = HCF(6562,1450) .
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Frequently Asked Questions on HCF of 1450, 6562 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 1450, 6562?
Answer: HCF of 1450, 6562 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1450, 6562 using Euclid's Algorithm?
Answer: For arbitrary numbers 1450, 6562 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
