Highest Common Factor of 931, 196, 645 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 931, 196, 645 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 931, 196, 645 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 931, 196, 645 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 931, 196, 645 is 1.
HCF(931, 196, 645) = 1
HCF of 931, 196, 645 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 931, 196, 645 is 1.
Highest Common Factor of 931,196,645 is 1
Step 1: Since 931 > 196, we apply the division lemma to 931 and 196, to get
931 = 196 x 4 + 147
Step 2: Since the reminder 196 ≠ 0, we apply division lemma to 147 and 196, to get
196 = 147 x 1 + 49
Step 3: We consider the new divisor 147 and the new remainder 49, and apply the division lemma to get
147 = 49 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 49, the HCF of 931 and 196 is 49
Notice that 49 = HCF(147,49) = HCF(196,147) = HCF(931,196) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 645 > 49, we apply the division lemma to 645 and 49, to get
645 = 49 x 13 + 8
Step 2: Since the reminder 49 ≠ 0, we apply division lemma to 8 and 49, to get
49 = 8 x 6 + 1
Step 3: We consider the new divisor 8 and the new remainder 1, and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 49 and 645 is 1
Notice that 1 = HCF(8,1) = HCF(49,8) = HCF(645,49) .
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Frequently Asked Questions on HCF of 931, 196, 645 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 931, 196, 645?
Answer: HCF of 931, 196, 645 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 931, 196, 645 using Euclid's Algorithm?
Answer: For arbitrary numbers 931, 196, 645 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.