Highest Common Factor of 345, 925, 791 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 345, 925, 791 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 345, 925, 791 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 345, 925, 791 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 345, 925, 791 is 1.
HCF(345, 925, 791) = 1
HCF of 345, 925, 791 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 345, 925, 791 is 1.
Highest Common Factor of 345,925,791 is 1
Step 1: Since 925 > 345, we apply the division lemma to 925 and 345, to get
925 = 345 x 2 + 235
Step 2: Since the reminder 345 ≠ 0, we apply division lemma to 235 and 345, to get
345 = 235 x 1 + 110
Step 3: We consider the new divisor 235 and the new remainder 110, and apply the division lemma to get
235 = 110 x 2 + 15
We consider the new divisor 110 and the new remainder 15,and apply the division lemma to get
110 = 15 x 7 + 5
We consider the new divisor 15 and the new remainder 5,and apply the division lemma to get
15 = 5 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 345 and 925 is 5
Notice that 5 = HCF(15,5) = HCF(110,15) = HCF(235,110) = HCF(345,235) = HCF(925,345) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 791 > 5, we apply the division lemma to 791 and 5, to get
791 = 5 x 158 + 1
Step 2: Since the reminder 5 ≠ 0, we apply division lemma to 1 and 5, to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5 and 791 is 1
Notice that 1 = HCF(5,1) = HCF(791,5) .
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Frequently Asked Questions on HCF of 345, 925, 791 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 345, 925, 791?
Answer: HCF of 345, 925, 791 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 345, 925, 791 using Euclid's Algorithm?
Answer: For arbitrary numbers 345, 925, 791 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.