Highest Common Factor of 259, 478, 765, 824 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 259, 478, 765, 824 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 259, 478, 765, 824 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 259, 478, 765, 824 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 259, 478, 765, 824 is 1.
HCF(259, 478, 765, 824) = 1
HCF of 259, 478, 765, 824 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 259, 478, 765, 824 is 1.
Highest Common Factor of 259,478,765,824 is 1
Step 1: Since 478 > 259, we apply the division lemma to 478 and 259, to get
478 = 259 x 1 + 219
Step 2: Since the reminder 259 ≠ 0, we apply division lemma to 219 and 259, to get
259 = 219 x 1 + 40
Step 3: We consider the new divisor 219 and the new remainder 40, and apply the division lemma to get
219 = 40 x 5 + 19
We consider the new divisor 40 and the new remainder 19,and apply the division lemma to get
40 = 19 x 2 + 2
We consider the new divisor 19 and the new remainder 2,and apply the division lemma to get
19 = 2 x 9 + 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 259 and 478 is 1
Notice that 1 = HCF(2,1) = HCF(19,2) = HCF(40,19) = HCF(219,40) = HCF(259,219) = HCF(478,259) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 765 > 1, we apply the division lemma to 765 and 1, to get
765 = 1 x 765 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 765 is 1
Notice that 1 = HCF(765,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 824 > 1, we apply the division lemma to 824 and 1, to get
824 = 1 x 824 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 824 is 1
Notice that 1 = HCF(824,1) .
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Frequently Asked Questions on HCF of 259, 478, 765, 824 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 259, 478, 765, 824?
Answer: HCF of 259, 478, 765, 824 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 259, 478, 765, 824 using Euclid's Algorithm?
Answer: For arbitrary numbers 259, 478, 765, 824 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.