Highest Common Factor of 528, 847, 326 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 528, 847, 326 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 528, 847, 326 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 528, 847, 326 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 528, 847, 326 is 1.
HCF(528, 847, 326) = 1
HCF of 528, 847, 326 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 528, 847, 326 is 1.
Highest Common Factor of 528,847,326 is 1
Step 1: Since 847 > 528, we apply the division lemma to 847 and 528, to get
847 = 528 x 1 + 319
Step 2: Since the reminder 528 ≠ 0, we apply division lemma to 319 and 528, to get
528 = 319 x 1 + 209
Step 3: We consider the new divisor 319 and the new remainder 209, and apply the division lemma to get
319 = 209 x 1 + 110
We consider the new divisor 209 and the new remainder 110,and apply the division lemma to get
209 = 110 x 1 + 99
We consider the new divisor 110 and the new remainder 99,and apply the division lemma to get
110 = 99 x 1 + 11
We consider the new divisor 99 and the new remainder 11,and apply the division lemma to get
99 = 11 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 11, the HCF of 528 and 847 is 11
Notice that 11 = HCF(99,11) = HCF(110,99) = HCF(209,110) = HCF(319,209) = HCF(528,319) = HCF(847,528) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 326 > 11, we apply the division lemma to 326 and 11, to get
326 = 11 x 29 + 7
Step 2: Since the reminder 11 ≠ 0, we apply division lemma to 7 and 11, to get
11 = 7 x 1 + 4
Step 3: We consider the new divisor 7 and the new remainder 4, and apply the division lemma to get
7 = 4 x 1 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 11 and 326 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(11,7) = HCF(326,11) .
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Frequently Asked Questions on HCF of 528, 847, 326 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 528, 847, 326?
Answer: HCF of 528, 847, 326 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 528, 847, 326 using Euclid's Algorithm?
Answer: For arbitrary numbers 528, 847, 326 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.