Highest Common Factor of 798, 623 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 798, 623 i.e. 7 the largest integer that leaves a remainder zero for all numbers.
HCF of 798, 623 is 7 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 798, 623 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 798, 623 is 7.
HCF(798, 623) = 7
HCF of 798, 623 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 798, 623 is 7.
Highest Common Factor of 798,623 is 7
Step 1: Since 798 > 623, we apply the division lemma to 798 and 623, to get
798 = 623 x 1 + 175
Step 2: Since the reminder 623 ≠ 0, we apply division lemma to 175 and 623, to get
623 = 175 x 3 + 98
Step 3: We consider the new divisor 175 and the new remainder 98, and apply the division lemma to get
175 = 98 x 1 + 77
We consider the new divisor 98 and the new remainder 77,and apply the division lemma to get
98 = 77 x 1 + 21
We consider the new divisor 77 and the new remainder 21,and apply the division lemma to get
77 = 21 x 3 + 14
We consider the new divisor 21 and the new remainder 14,and apply the division lemma to get
21 = 14 x 1 + 7
We consider the new divisor 14 and the new remainder 7,and apply the division lemma to get
14 = 7 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 798 and 623 is 7
Notice that 7 = HCF(14,7) = HCF(21,14) = HCF(77,21) = HCF(98,77) = HCF(175,98) = HCF(623,175) = HCF(798,623) .
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Frequently Asked Questions on HCF of 798, 623 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 798, 623?
Answer: HCF of 798, 623 is 7 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 798, 623 using Euclid's Algorithm?
Answer: For arbitrary numbers 798, 623 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
