Highest Common Factor of 882, 513, 52 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 882, 513, 52 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 882, 513, 52 is 1 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 882, 513, 52 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 882, 513, 52 is 1.
HCF(882, 513, 52) = 1
HCF of 882, 513, 52 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 882, 513, 52 is 1.
Highest Common Factor of 882,513,52 is 1
Step 1: Since 882 > 513, we apply the division lemma to 882 and 513, to get
882 = 513 x 1 + 369
Step 2: Since the reminder 513 ≠ 0, we apply division lemma to 369 and 513, to get
513 = 369 x 1 + 144
Step 3: We consider the new divisor 369 and the new remainder 144, and apply the division lemma to get
369 = 144 x 2 + 81
We consider the new divisor 144 and the new remainder 81,and apply the division lemma to get
144 = 81 x 1 + 63
We consider the new divisor 81 and the new remainder 63,and apply the division lemma to get
81 = 63 x 1 + 18
We consider the new divisor 63 and the new remainder 18,and apply the division lemma to get
63 = 18 x 3 + 9
We consider the new divisor 18 and the new remainder 9,and apply the division lemma to get
18 = 9 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 9, the HCF of 882 and 513 is 9
Notice that 9 = HCF(18,9) = HCF(63,18) = HCF(81,63) = HCF(144,81) = HCF(369,144) = HCF(513,369) = HCF(882,513) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 52 > 9, we apply the division lemma to 52 and 9, to get
52 = 9 x 5 + 7
Step 2: Since the reminder 9 ≠ 0, we apply division lemma to 7 and 9, to get
9 = 7 x 1 + 2
Step 3: We consider the new divisor 7 and the new remainder 2, and apply the division lemma to get
7 = 2 x 3 + 1
We consider the new divisor 2 and the new remainder 1, and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9 and 52 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(9,7) = HCF(52,9) .
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Frequently Asked Questions on HCF of 882, 513, 52 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 882, 513, 52?
Answer: HCF of 882, 513, 52 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 882, 513, 52 using Euclid's Algorithm?
Answer: For arbitrary numbers 882, 513, 52 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.