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 572, 329, 884, 359 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 572, 329, 884, 359 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 572, 329, 884, 359 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 572, 329, 884, 359 is 1.
HCF(572, 329, 884, 359) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 572, 329, 884, 359 is 1.
Step 1: Since 572 > 329, we apply the division lemma to 572 and 329, to get
572 = 329 x 1 + 243
Step 2: Since the reminder 329 ≠ 0, we apply division lemma to 243 and 329, to get
329 = 243 x 1 + 86
Step 3: We consider the new divisor 243 and the new remainder 86, and apply the division lemma to get
243 = 86 x 2 + 71
We consider the new divisor 86 and the new remainder 71,and apply the division lemma to get
86 = 71 x 1 + 15
We consider the new divisor 71 and the new remainder 15,and apply the division lemma to get
71 = 15 x 4 + 11
We consider the new divisor 15 and the new remainder 11,and apply the division lemma to get
15 = 11 x 1 + 4
We consider the new divisor 11 and the new remainder 4,and apply the division lemma to get
11 = 4 x 2 + 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 572 and 329 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(11,4) = HCF(15,11) = HCF(71,15) = HCF(86,71) = HCF(243,86) = HCF(329,243) = HCF(572,329) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 884 > 1, we apply the division lemma to 884 and 1, to get
884 = 1 x 884 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 884 is 1
Notice that 1 = HCF(884,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 359 > 1, we apply the division lemma to 359 and 1, to get
359 = 1 x 359 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 359 is 1
Notice that 1 = HCF(359,1) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 572, 329, 884, 359?
Answer: HCF of 572, 329, 884, 359 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 572, 329, 884, 359 using Euclid's Algorithm?
Answer: For arbitrary numbers 572, 329, 884, 359 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.