Highest Common Factor of 553, 859, 33, 233 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 553, 859, 33, 233 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 553, 859, 33, 233 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 553, 859, 33, 233 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 553, 859, 33, 233 is 1.
HCF(553, 859, 33, 233) = 1
HCF of 553, 859, 33, 233 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 553, 859, 33, 233 is 1.
Highest Common Factor of 553,859,33,233 is 1
Step 1: Since 859 > 553, we apply the division lemma to 859 and 553, to get
859 = 553 x 1 + 306
Step 2: Since the reminder 553 ≠ 0, we apply division lemma to 306 and 553, to get
553 = 306 x 1 + 247
Step 3: We consider the new divisor 306 and the new remainder 247, and apply the division lemma to get
306 = 247 x 1 + 59
We consider the new divisor 247 and the new remainder 59,and apply the division lemma to get
247 = 59 x 4 + 11
We consider the new divisor 59 and the new remainder 11,and apply the division lemma to get
59 = 11 x 5 + 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 553 and 859 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(11,4) = HCF(59,11) = HCF(247,59) = HCF(306,247) = HCF(553,306) = HCF(859,553) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 33 > 1, we apply the division lemma to 33 and 1, to get
33 = 1 x 33 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 33 is 1
Notice that 1 = HCF(33,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 233 > 1, we apply the division lemma to 233 and 1, to get
233 = 1 x 233 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 233 is 1
Notice that 1 = HCF(233,1) .
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Frequently Asked Questions on HCF of 553, 859, 33, 233 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 553, 859, 33, 233?
Answer: HCF of 553, 859, 33, 233 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 553, 859, 33, 233 using Euclid's Algorithm?
Answer: For arbitrary numbers 553, 859, 33, 233 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
