Highest Common Factor of 1431, 6501 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, 6501 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 1431, 6501 is 3 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, 6501 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, 6501 is 3.
HCF(1431, 6501) = 3
HCF of 1431, 6501 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, 6501 is 3.
Highest Common Factor of 1431,6501 is 3
Step 1: Since 6501 > 1431, we apply the division lemma to 6501 and 1431, to get
6501 = 1431 x 4 + 777
Step 2: Since the reminder 1431 ≠ 0, we apply division lemma to 777 and 1431, to get
1431 = 777 x 1 + 654
Step 3: We consider the new divisor 777 and the new remainder 654, and apply the division lemma to get
777 = 654 x 1 + 123
We consider the new divisor 654 and the new remainder 123,and apply the division lemma to get
654 = 123 x 5 + 39
We consider the new divisor 123 and the new remainder 39,and apply the division lemma to get
123 = 39 x 3 + 6
We consider the new divisor 39 and the new remainder 6,and apply the division lemma to get
39 = 6 x 6 + 3
We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 1431 and 6501 is 3
Notice that 3 = HCF(6,3) = HCF(39,6) = HCF(123,39) = HCF(654,123) = HCF(777,654) = HCF(1431,777) = HCF(6501,1431) .
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Frequently Asked Questions on HCF of 1431, 6501 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, 6501?
Answer: HCF of 1431, 6501 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1431, 6501 using Euclid's Algorithm?
Answer: For arbitrary numbers 1431, 6501 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.