Highest Common Factor of 855, 583, 793, 553 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 855, 583, 793, 553 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 855, 583, 793, 553 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 855, 583, 793, 553 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 855, 583, 793, 553 is 1.
HCF(855, 583, 793, 553) = 1
HCF of 855, 583, 793, 553 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 855, 583, 793, 553 is 1.
Highest Common Factor of 855,583,793,553 is 1
Step 1: Since 855 > 583, we apply the division lemma to 855 and 583, to get
855 = 583 x 1 + 272
Step 2: Since the reminder 583 ≠ 0, we apply division lemma to 272 and 583, to get
583 = 272 x 2 + 39
Step 3: We consider the new divisor 272 and the new remainder 39, and apply the division lemma to get
272 = 39 x 6 + 38
We consider the new divisor 39 and the new remainder 38,and apply the division lemma to get
39 = 38 x 1 + 1
We consider the new divisor 38 and the new remainder 1,and apply the division lemma to get
38 = 1 x 38 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 855 and 583 is 1
Notice that 1 = HCF(38,1) = HCF(39,38) = HCF(272,39) = HCF(583,272) = HCF(855,583) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 793 > 1, we apply the division lemma to 793 and 1, to get
793 = 1 x 793 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 793 is 1
Notice that 1 = HCF(793,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 553 > 1, we apply the division lemma to 553 and 1, to get
553 = 1 x 553 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 553 is 1
Notice that 1 = HCF(553,1) .
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Frequently Asked Questions on HCF of 855, 583, 793, 553 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 855, 583, 793, 553?
Answer: HCF of 855, 583, 793, 553 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 855, 583, 793, 553 using Euclid's Algorithm?
Answer: For arbitrary numbers 855, 583, 793, 553 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.