Highest Common Factor of 914, 797, 358 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 914, 797, 358 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 914, 797, 358 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 914, 797, 358 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 914, 797, 358 is 1.
HCF(914, 797, 358) = 1
HCF of 914, 797, 358 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 914, 797, 358 is 1.
Highest Common Factor of 914,797,358 is 1
Step 1: Since 914 > 797, we apply the division lemma to 914 and 797, to get
914 = 797 x 1 + 117
Step 2: Since the reminder 797 ≠ 0, we apply division lemma to 117 and 797, to get
797 = 117 x 6 + 95
Step 3: We consider the new divisor 117 and the new remainder 95, and apply the division lemma to get
117 = 95 x 1 + 22
We consider the new divisor 95 and the new remainder 22,and apply the division lemma to get
95 = 22 x 4 + 7
We consider the new divisor 22 and the new remainder 7,and apply the division lemma to get
22 = 7 x 3 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 914 and 797 is 1
Notice that 1 = HCF(7,1) = HCF(22,7) = HCF(95,22) = HCF(117,95) = HCF(797,117) = HCF(914,797) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 358 > 1, we apply the division lemma to 358 and 1, to get
358 = 1 x 358 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 358 is 1
Notice that 1 = HCF(358,1) .
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Frequently Asked Questions on HCF of 914, 797, 358 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 914, 797, 358?
Answer: HCF of 914, 797, 358 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 914, 797, 358 using Euclid's Algorithm?
Answer: For arbitrary numbers 914, 797, 358 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
