Highest Common Factor of 791, 305 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 791, 305 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 791, 305 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 791, 305 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 791, 305 is 1.
HCF(791, 305) = 1
HCF of 791, 305 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 791, 305 is 1.
Highest Common Factor of 791,305 is 1
Step 1: Since 791 > 305, we apply the division lemma to 791 and 305, to get
791 = 305 x 2 + 181
Step 2: Since the reminder 305 ≠ 0, we apply division lemma to 181 and 305, to get
305 = 181 x 1 + 124
Step 3: We consider the new divisor 181 and the new remainder 124, and apply the division lemma to get
181 = 124 x 1 + 57
We consider the new divisor 124 and the new remainder 57,and apply the division lemma to get
124 = 57 x 2 + 10
We consider the new divisor 57 and the new remainder 10,and apply the division lemma to get
57 = 10 x 5 + 7
We consider the new divisor 10 and the new remainder 7,and apply the division lemma to get
10 = 7 x 1 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 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 791 and 305 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(10,7) = HCF(57,10) = HCF(124,57) = HCF(181,124) = HCF(305,181) = HCF(791,305) .
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Frequently Asked Questions on HCF of 791, 305 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 791, 305?
Answer: HCF of 791, 305 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 791, 305 using Euclid's Algorithm?
Answer: For arbitrary numbers 791, 305 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.