Highest Common Factor of 568, 897, 419, 78 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 568, 897, 419, 78 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 568, 897, 419, 78 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 568, 897, 419, 78 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 568, 897, 419, 78 is 1.
HCF(568, 897, 419, 78) = 1
HCF of 568, 897, 419, 78 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 568, 897, 419, 78 is 1.
Highest Common Factor of 568,897,419,78 is 1
Step 1: Since 897 > 568, we apply the division lemma to 897 and 568, to get
897 = 568 x 1 + 329
Step 2: Since the reminder 568 ≠ 0, we apply division lemma to 329 and 568, to get
568 = 329 x 1 + 239
Step 3: We consider the new divisor 329 and the new remainder 239, and apply the division lemma to get
329 = 239 x 1 + 90
We consider the new divisor 239 and the new remainder 90,and apply the division lemma to get
239 = 90 x 2 + 59
We consider the new divisor 90 and the new remainder 59,and apply the division lemma to get
90 = 59 x 1 + 31
We consider the new divisor 59 and the new remainder 31,and apply the division lemma to get
59 = 31 x 1 + 28
We consider the new divisor 31 and the new remainder 28,and apply the division lemma to get
31 = 28 x 1 + 3
We consider the new divisor 28 and the new remainder 3,and apply the division lemma to get
28 = 3 x 9 + 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 568 and 897 is 1
Notice that 1 = HCF(3,1) = HCF(28,3) = HCF(31,28) = HCF(59,31) = HCF(90,59) = HCF(239,90) = HCF(329,239) = HCF(568,329) = HCF(897,568) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 419 > 1, we apply the division lemma to 419 and 1, to get
419 = 1 x 419 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 419 is 1
Notice that 1 = HCF(419,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 78 > 1, we apply the division lemma to 78 and 1, to get
78 = 1 x 78 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 78 is 1
Notice that 1 = HCF(78,1) .
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Frequently Asked Questions on HCF of 568, 897, 419, 78 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 568, 897, 419, 78?
Answer: HCF of 568, 897, 419, 78 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 568, 897, 419, 78 using Euclid's Algorithm?
Answer: For arbitrary numbers 568, 897, 419, 78 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.