Highest Common Factor of 931, 4202 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, 4202 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 931, 4202 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, 4202 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, 4202 is 1.
HCF(931, 4202) = 1
HCF of 931, 4202 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, 4202 is 1.
Highest Common Factor of 931,4202 is 1
Step 1: Since 4202 > 931, we apply the division lemma to 4202 and 931, to get
4202 = 931 x 4 + 478
Step 2: Since the reminder 931 ≠ 0, we apply division lemma to 478 and 931, to get
931 = 478 x 1 + 453
Step 3: We consider the new divisor 478 and the new remainder 453, and apply the division lemma to get
478 = 453 x 1 + 25
We consider the new divisor 453 and the new remainder 25,and apply the division lemma to get
453 = 25 x 18 + 3
We consider the new divisor 25 and the new remainder 3,and apply the division lemma to get
25 = 3 x 8 + 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 931 and 4202 is 1
Notice that 1 = HCF(3,1) = HCF(25,3) = HCF(453,25) = HCF(478,453) = HCF(931,478) = HCF(4202,931) .
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Frequently Asked Questions on HCF of 931, 4202 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, 4202?
Answer: HCF of 931, 4202 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 931, 4202 using Euclid's Algorithm?
Answer: For arbitrary numbers 931, 4202 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.