Highest Common Factor of 565, 335, 788, 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 565, 335, 788, 52 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 565, 335, 788, 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 565, 335, 788, 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 565, 335, 788, 52 is 1.
HCF(565, 335, 788, 52) = 1
HCF of 565, 335, 788, 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 565, 335, 788, 52 is 1.
Highest Common Factor of 565,335,788,52 is 1
Step 1: Since 565 > 335, we apply the division lemma to 565 and 335, to get
565 = 335 x 1 + 230
Step 2: Since the reminder 335 ≠ 0, we apply division lemma to 230 and 335, to get
335 = 230 x 1 + 105
Step 3: We consider the new divisor 230 and the new remainder 105, and apply the division lemma to get
230 = 105 x 2 + 20
We consider the new divisor 105 and the new remainder 20,and apply the division lemma to get
105 = 20 x 5 + 5
We consider the new divisor 20 and the new remainder 5,and apply the division lemma to get
20 = 5 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 565 and 335 is 5
Notice that 5 = HCF(20,5) = HCF(105,20) = HCF(230,105) = HCF(335,230) = HCF(565,335) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 788 > 5, we apply the division lemma to 788 and 5, to get
788 = 5 x 157 + 3
Step 2: Since the reminder 5 ≠ 0, we apply division lemma to 3 and 5, to get
5 = 3 x 1 + 2
Step 3: We consider the new divisor 3 and the new remainder 2, and apply the division lemma to get
3 = 2 x 1 + 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 5 and 788 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(788,5) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 52 > 1, we apply the division lemma to 52 and 1, to get
52 = 1 x 52 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 52 is 1
Notice that 1 = HCF(52,1) .
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Frequently Asked Questions on HCF of 565, 335, 788, 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 565, 335, 788, 52?
Answer: HCF of 565, 335, 788, 52 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 565, 335, 788, 52 using Euclid's Algorithm?
Answer: For arbitrary numbers 565, 335, 788, 52 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.