Highest Common Factor of 598, 937, 560 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 598, 937, 560 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 598, 937, 560 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 598, 937, 560 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 598, 937, 560 is 1.
HCF(598, 937, 560) = 1
HCF of 598, 937, 560 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 598, 937, 560 is 1.
Highest Common Factor of 598,937,560 is 1
Step 1: Since 937 > 598, we apply the division lemma to 937 and 598, to get
937 = 598 x 1 + 339
Step 2: Since the reminder 598 ≠ 0, we apply division lemma to 339 and 598, to get
598 = 339 x 1 + 259
Step 3: We consider the new divisor 339 and the new remainder 259, and apply the division lemma to get
339 = 259 x 1 + 80
We consider the new divisor 259 and the new remainder 80,and apply the division lemma to get
259 = 80 x 3 + 19
We consider the new divisor 80 and the new remainder 19,and apply the division lemma to get
80 = 19 x 4 + 4
We consider the new divisor 19 and the new remainder 4,and apply the division lemma to get
19 = 4 x 4 + 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 598 and 937 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(19,4) = HCF(80,19) = HCF(259,80) = HCF(339,259) = HCF(598,339) = HCF(937,598) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 560 > 1, we apply the division lemma to 560 and 1, to get
560 = 1 x 560 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 560 is 1
Notice that 1 = HCF(560,1) .
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Frequently Asked Questions on HCF of 598, 937, 560 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 598, 937, 560?
Answer: HCF of 598, 937, 560 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 598, 937, 560 using Euclid's Algorithm?
Answer: For arbitrary numbers 598, 937, 560 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
