Highest Common Factor of 3192, 7431 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 3192, 7431 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 3192, 7431 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 3192, 7431 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 3192, 7431 is 3.
HCF(3192, 7431) = 3
HCF of 3192, 7431 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3192, 7431 is 3.
Highest Common Factor of 3192,7431 is 3
Step 1: Since 7431 > 3192, we apply the division lemma to 7431 and 3192, to get
7431 = 3192 x 2 + 1047
Step 2: Since the reminder 3192 ≠ 0, we apply division lemma to 1047 and 3192, to get
3192 = 1047 x 3 + 51
Step 3: We consider the new divisor 1047 and the new remainder 51, and apply the division lemma to get
1047 = 51 x 20 + 27
We consider the new divisor 51 and the new remainder 27,and apply the division lemma to get
51 = 27 x 1 + 24
We consider the new divisor 27 and the new remainder 24,and apply the division lemma to get
27 = 24 x 1 + 3
We consider the new divisor 24 and the new remainder 3,and apply the division lemma to get
24 = 3 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 3192 and 7431 is 3
Notice that 3 = HCF(24,3) = HCF(27,24) = HCF(51,27) = HCF(1047,51) = HCF(3192,1047) = HCF(7431,3192) .
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Frequently Asked Questions on HCF of 3192, 7431 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 3192, 7431?
Answer: HCF of 3192, 7431 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3192, 7431 using Euclid's Algorithm?
Answer: For arbitrary numbers 3192, 7431 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.