Highest Common Factor of 295, 519, 698, 59 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 295, 519, 698, 59 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 295, 519, 698, 59 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 295, 519, 698, 59 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 295, 519, 698, 59 is 1.
HCF(295, 519, 698, 59) = 1
HCF of 295, 519, 698, 59 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 295, 519, 698, 59 is 1.
Highest Common Factor of 295,519,698,59 is 1
Step 1: Since 519 > 295, we apply the division lemma to 519 and 295, to get
519 = 295 x 1 + 224
Step 2: Since the reminder 295 ≠ 0, we apply division lemma to 224 and 295, to get
295 = 224 x 1 + 71
Step 3: We consider the new divisor 224 and the new remainder 71, and apply the division lemma to get
224 = 71 x 3 + 11
We consider the new divisor 71 and the new remainder 11,and apply the division lemma to get
71 = 11 x 6 + 5
We consider the new divisor 11 and the new remainder 5,and apply the division lemma to get
11 = 5 x 2 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 295 and 519 is 1
Notice that 1 = HCF(5,1) = HCF(11,5) = HCF(71,11) = HCF(224,71) = HCF(295,224) = HCF(519,295) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 698 > 1, we apply the division lemma to 698 and 1, to get
698 = 1 x 698 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 698 is 1
Notice that 1 = HCF(698,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 59 > 1, we apply the division lemma to 59 and 1, to get
59 = 1 x 59 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 59 is 1
Notice that 1 = HCF(59,1) .
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Frequently Asked Questions on HCF of 295, 519, 698, 59 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 295, 519, 698, 59?
Answer: HCF of 295, 519, 698, 59 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 295, 519, 698, 59 using Euclid's Algorithm?
Answer: For arbitrary numbers 295, 519, 698, 59 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.