Highest Common Factor of 1527, 6654 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 1527, 6654 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 1527, 6654 is 3 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 1527, 6654 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 1527, 6654 is 3.
HCF(1527, 6654) = 3
HCF of 1527, 6654 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1527, 6654 is 3.
Highest Common Factor of 1527,6654 is 3
Step 1: Since 6654 > 1527, we apply the division lemma to 6654 and 1527, to get
6654 = 1527 x 4 + 546
Step 2: Since the reminder 1527 ≠ 0, we apply division lemma to 546 and 1527, to get
1527 = 546 x 2 + 435
Step 3: We consider the new divisor 546 and the new remainder 435, and apply the division lemma to get
546 = 435 x 1 + 111
We consider the new divisor 435 and the new remainder 111,and apply the division lemma to get
435 = 111 x 3 + 102
We consider the new divisor 111 and the new remainder 102,and apply the division lemma to get
111 = 102 x 1 + 9
We consider the new divisor 102 and the new remainder 9,and apply the division lemma to get
102 = 9 x 11 + 3
We consider the new divisor 9 and the new remainder 3,and apply the division lemma to get
9 = 3 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 1527 and 6654 is 3
Notice that 3 = HCF(9,3) = HCF(102,9) = HCF(111,102) = HCF(435,111) = HCF(546,435) = HCF(1527,546) = HCF(6654,1527) .
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Frequently Asked Questions on HCF of 1527, 6654 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 1527, 6654?
Answer: HCF of 1527, 6654 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1527, 6654 using Euclid's Algorithm?
Answer: For arbitrary numbers 1527, 6654 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.