Highest Common Factor of 1431, 4927 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 1431, 4927 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1431, 4927 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 1431, 4927 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 1431, 4927 is 1.
HCF(1431, 4927) = 1
HCF of 1431, 4927 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1431, 4927 is 1.
Highest Common Factor of 1431,4927 is 1
Step 1: Since 4927 > 1431, we apply the division lemma to 4927 and 1431, to get
4927 = 1431 x 3 + 634
Step 2: Since the reminder 1431 ≠ 0, we apply division lemma to 634 and 1431, to get
1431 = 634 x 2 + 163
Step 3: We consider the new divisor 634 and the new remainder 163, and apply the division lemma to get
634 = 163 x 3 + 145
We consider the new divisor 163 and the new remainder 145,and apply the division lemma to get
163 = 145 x 1 + 18
We consider the new divisor 145 and the new remainder 18,and apply the division lemma to get
145 = 18 x 8 + 1
We consider the new divisor 18 and the new remainder 1,and apply the division lemma to get
18 = 1 x 18 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1431 and 4927 is 1
Notice that 1 = HCF(18,1) = HCF(145,18) = HCF(163,145) = HCF(634,163) = HCF(1431,634) = HCF(4927,1431) .
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Frequently Asked Questions on HCF of 1431, 4927 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 1431, 4927?
Answer: HCF of 1431, 4927 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1431, 4927 using Euclid's Algorithm?
Answer: For arbitrary numbers 1431, 4927 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.