Highest Common Factor of 2730, 6522 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 2730, 6522 i.e. 6 the largest integer that leaves a remainder zero for all numbers.
HCF of 2730, 6522 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 2730, 6522 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 2730, 6522 is 6.
HCF(2730, 6522) = 6
HCF of 2730, 6522 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2730, 6522 is 6.
Highest Common Factor of 2730,6522 is 6
Step 1: Since 6522 > 2730, we apply the division lemma to 6522 and 2730, to get
6522 = 2730 x 2 + 1062
Step 2: Since the reminder 2730 ≠ 0, we apply division lemma to 1062 and 2730, to get
2730 = 1062 x 2 + 606
Step 3: We consider the new divisor 1062 and the new remainder 606, and apply the division lemma to get
1062 = 606 x 1 + 456
We consider the new divisor 606 and the new remainder 456,and apply the division lemma to get
606 = 456 x 1 + 150
We consider the new divisor 456 and the new remainder 150,and apply the division lemma to get
456 = 150 x 3 + 6
We consider the new divisor 150 and the new remainder 6,and apply the division lemma to get
150 = 6 x 25 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 6, the HCF of 2730 and 6522 is 6
Notice that 6 = HCF(150,6) = HCF(456,150) = HCF(606,456) = HCF(1062,606) = HCF(2730,1062) = HCF(6522,2730) .
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Frequently Asked Questions on HCF of 2730, 6522 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 2730, 6522?
Answer: HCF of 2730, 6522 is 6 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2730, 6522 using Euclid's Algorithm?
Answer: For arbitrary numbers 2730, 6522 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.