Highest Common Factor of 795, 673, 359 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 795, 673, 359 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 795, 673, 359 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 795, 673, 359 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 795, 673, 359 is 1.
HCF(795, 673, 359) = 1
HCF of 795, 673, 359 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 795, 673, 359 is 1.
Highest Common Factor of 795,673,359 is 1
Step 1: Since 795 > 673, we apply the division lemma to 795 and 673, to get
795 = 673 x 1 + 122
Step 2: Since the reminder 673 ≠ 0, we apply division lemma to 122 and 673, to get
673 = 122 x 5 + 63
Step 3: We consider the new divisor 122 and the new remainder 63, and apply the division lemma to get
122 = 63 x 1 + 59
We consider the new divisor 63 and the new remainder 59,and apply the division lemma to get
63 = 59 x 1 + 4
We consider the new divisor 59 and the new remainder 4,and apply the division lemma to get
59 = 4 x 14 + 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 795 and 673 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(59,4) = HCF(63,59) = HCF(122,63) = HCF(673,122) = HCF(795,673) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 359 > 1, we apply the division lemma to 359 and 1, to get
359 = 1 x 359 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 359 is 1
Notice that 1 = HCF(359,1) .
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Frequently Asked Questions on HCF of 795, 673, 359 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 795, 673, 359?
Answer: HCF of 795, 673, 359 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 795, 673, 359 using Euclid's Algorithm?
Answer: For arbitrary numbers 795, 673, 359 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.