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, 4330 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 7462, 4330 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, 4330 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, 4330 is 2.
HCF(7462, 4330) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7462, 4330 is 2.
Step 1: Since 7462 > 4330, we apply the division lemma to 7462 and 4330, to get
7462 = 4330 x 1 + 3132
Step 2: Since the reminder 4330 ≠ 0, we apply division lemma to 3132 and 4330, to get
4330 = 3132 x 1 + 1198
Step 3: We consider the new divisor 3132 and the new remainder 1198, and apply the division lemma to get
3132 = 1198 x 2 + 736
We consider the new divisor 1198 and the new remainder 736,and apply the division lemma to get
1198 = 736 x 1 + 462
We consider the new divisor 736 and the new remainder 462,and apply the division lemma to get
736 = 462 x 1 + 274
We consider the new divisor 462 and the new remainder 274,and apply the division lemma to get
462 = 274 x 1 + 188
We consider the new divisor 274 and the new remainder 188,and apply the division lemma to get
274 = 188 x 1 + 86
We consider the new divisor 188 and the new remainder 86,and apply the division lemma to get
188 = 86 x 2 + 16
We consider the new divisor 86 and the new remainder 16,and apply the division lemma to get
86 = 16 x 5 + 6
We consider the new divisor 16 and the new remainder 6,and apply the division lemma to get
16 = 6 x 2 + 4
We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get
6 = 4 x 1 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 7462 and 4330 is 2
Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(16,6) = HCF(86,16) = HCF(188,86) = HCF(274,188) = HCF(462,274) = HCF(736,462) = HCF(1198,736) = HCF(3132,1198) = HCF(4330,3132) = HCF(7462,4330) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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, 4330?
Answer: HCF of 7462, 4330 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7462, 4330 using Euclid's Algorithm?
Answer: For arbitrary numbers 7462, 4330 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.