Highest Common Factor of 641, 914, 157 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 641, 914, 157 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 641, 914, 157 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 641, 914, 157 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 641, 914, 157 is 1.
HCF(641, 914, 157) = 1
HCF of 641, 914, 157 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 641, 914, 157 is 1.
Highest Common Factor of 641,914,157 is 1
Step 1: Since 914 > 641, we apply the division lemma to 914 and 641, to get
914 = 641 x 1 + 273
Step 2: Since the reminder 641 ≠ 0, we apply division lemma to 273 and 641, to get
641 = 273 x 2 + 95
Step 3: We consider the new divisor 273 and the new remainder 95, and apply the division lemma to get
273 = 95 x 2 + 83
We consider the new divisor 95 and the new remainder 83,and apply the division lemma to get
95 = 83 x 1 + 12
We consider the new divisor 83 and the new remainder 12,and apply the division lemma to get
83 = 12 x 6 + 11
We consider the new divisor 12 and the new remainder 11,and apply the division lemma to get
12 = 11 x 1 + 1
We consider the new divisor 11 and the new remainder 1,and apply the division lemma to get
11 = 1 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 641 and 914 is 1
Notice that 1 = HCF(11,1) = HCF(12,11) = HCF(83,12) = HCF(95,83) = HCF(273,95) = HCF(641,273) = HCF(914,641) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 157 > 1, we apply the division lemma to 157 and 1, to get
157 = 1 x 157 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 157 is 1
Notice that 1 = HCF(157,1) .
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Frequently Asked Questions on HCF of 641, 914, 157 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 641, 914, 157?
Answer: HCF of 641, 914, 157 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 641, 914, 157 using Euclid's Algorithm?
Answer: For arbitrary numbers 641, 914, 157 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
