Highest Common Factor of 667, 794 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 667, 794 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 667, 794 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 667, 794 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 667, 794 is 1.
HCF(667, 794) = 1
HCF of 667, 794 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 667, 794 is 1.
Highest Common Factor of 667,794 is 1
Step 1: Since 794 > 667, we apply the division lemma to 794 and 667, to get
794 = 667 x 1 + 127
Step 2: Since the reminder 667 ≠ 0, we apply division lemma to 127 and 667, to get
667 = 127 x 5 + 32
Step 3: We consider the new divisor 127 and the new remainder 32, and apply the division lemma to get
127 = 32 x 3 + 31
We consider the new divisor 32 and the new remainder 31,and apply the division lemma to get
32 = 31 x 1 + 1
We consider the new divisor 31 and the new remainder 1,and apply the division lemma to get
31 = 1 x 31 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 667 and 794 is 1
Notice that 1 = HCF(31,1) = HCF(32,31) = HCF(127,32) = HCF(667,127) = HCF(794,667) .
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Frequently Asked Questions on HCF of 667, 794 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 667, 794?
Answer: HCF of 667, 794 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 667, 794 using Euclid's Algorithm?
Answer: For arbitrary numbers 667, 794 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.