Highest Common Factor of 7462, 8244 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 7462, 8244 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 7462, 8244 is 2 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 7462, 8244 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 7462, 8244 is 2.
HCF(7462, 8244) = 2
HCF of 7462, 8244 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7462, 8244 is 2.
Highest Common Factor of 7462,8244 is 2
Step 1: Since 8244 > 7462, we apply the division lemma to 8244 and 7462, to get
8244 = 7462 x 1 + 782
Step 2: Since the reminder 7462 ≠ 0, we apply division lemma to 782 and 7462, to get
7462 = 782 x 9 + 424
Step 3: We consider the new divisor 782 and the new remainder 424, and apply the division lemma to get
782 = 424 x 1 + 358
We consider the new divisor 424 and the new remainder 358,and apply the division lemma to get
424 = 358 x 1 + 66
We consider the new divisor 358 and the new remainder 66,and apply the division lemma to get
358 = 66 x 5 + 28
We consider the new divisor 66 and the new remainder 28,and apply the division lemma to get
66 = 28 x 2 + 10
We consider the new divisor 28 and the new remainder 10,and apply the division lemma to get
28 = 10 x 2 + 8
We consider the new divisor 10 and the new remainder 8,and apply the division lemma to get
10 = 8 x 1 + 2
We consider the new divisor 8 and the new remainder 2,and apply the division lemma to get
8 = 2 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 7462 and 8244 is 2
Notice that 2 = HCF(8,2) = HCF(10,8) = HCF(28,10) = HCF(66,28) = HCF(358,66) = HCF(424,358) = HCF(782,424) = HCF(7462,782) = HCF(8244,7462) .
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Frequently Asked Questions on HCF of 7462, 8244 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 7462, 8244?
Answer: HCF of 7462, 8244 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7462, 8244 using Euclid's Algorithm?
Answer: For arbitrary numbers 7462, 8244 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
