Highest Common Factor of 295, 515, 520, 721 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, 515, 520, 721 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 295, 515, 520, 721 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, 515, 520, 721 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, 515, 520, 721 is 1.
HCF(295, 515, 520, 721) = 1
HCF of 295, 515, 520, 721 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, 515, 520, 721 is 1.
Highest Common Factor of 295,515,520,721 is 1
Step 1: Since 515 > 295, we apply the division lemma to 515 and 295, to get
515 = 295 x 1 + 220
Step 2: Since the reminder 295 ≠ 0, we apply division lemma to 220 and 295, to get
295 = 220 x 1 + 75
Step 3: We consider the new divisor 220 and the new remainder 75, and apply the division lemma to get
220 = 75 x 2 + 70
We consider the new divisor 75 and the new remainder 70,and apply the division lemma to get
75 = 70 x 1 + 5
We consider the new divisor 70 and the new remainder 5,and apply the division lemma to get
70 = 5 x 14 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 295 and 515 is 5
Notice that 5 = HCF(70,5) = HCF(75,70) = HCF(220,75) = HCF(295,220) = HCF(515,295) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 520 > 5, we apply the division lemma to 520 and 5, to get
520 = 5 x 104 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 5 and 520 is 5
Notice that 5 = HCF(520,5) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 721 > 5, we apply the division lemma to 721 and 5, to get
721 = 5 x 144 + 1
Step 2: Since the reminder 5 ≠ 0, we apply division lemma to 1 and 5, 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 5 and 721 is 1
Notice that 1 = HCF(5,1) = HCF(721,5) .
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Frequently Asked Questions on HCF of 295, 515, 520, 721 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, 515, 520, 721?
Answer: HCF of 295, 515, 520, 721 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 295, 515, 520, 721 using Euclid's Algorithm?
Answer: For arbitrary numbers 295, 515, 520, 721 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.