Highest Common Factor of 295, 413, 720 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, 413, 720 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 295, 413, 720 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, 413, 720 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, 413, 720 is 1.
HCF(295, 413, 720) = 1
HCF of 295, 413, 720 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, 413, 720 is 1.
Highest Common Factor of 295,413,720 is 1
Step 1: Since 413 > 295, we apply the division lemma to 413 and 295, to get
413 = 295 x 1 + 118
Step 2: Since the reminder 295 ≠ 0, we apply division lemma to 118 and 295, to get
295 = 118 x 2 + 59
Step 3: We consider the new divisor 118 and the new remainder 59, and apply the division lemma to get
118 = 59 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 59, the HCF of 295 and 413 is 59
Notice that 59 = HCF(118,59) = HCF(295,118) = HCF(413,295) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 720 > 59, we apply the division lemma to 720 and 59, to get
720 = 59 x 12 + 12
Step 2: Since the reminder 59 ≠ 0, we apply division lemma to 12 and 59, to get
59 = 12 x 4 + 11
Step 3: We consider the new divisor 12 and the new remainder 11, and apply the division lemma to get
12 = 11 x 1 + 1
We consider the new divisor 11 and the new remainder 1, and apply the division lemma to get
11 = 1 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 59 and 720 is 1
Notice that 1 = HCF(11,1) = HCF(12,11) = HCF(59,12) = HCF(720,59) .
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Frequently Asked Questions on HCF of 295, 413, 720 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, 413, 720?
Answer: HCF of 295, 413, 720 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 295, 413, 720 using Euclid's Algorithm?
Answer: For arbitrary numbers 295, 413, 720 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.