Highest Common Factor of 7374, 4412 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 7374, 4412 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 7374, 4412 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 7374, 4412 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 7374, 4412 is 2.
HCF(7374, 4412) = 2
HCF of 7374, 4412 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7374, 4412 is 2.
Highest Common Factor of 7374,4412 is 2
Step 1: Since 7374 > 4412, we apply the division lemma to 7374 and 4412, to get
7374 = 4412 x 1 + 2962
Step 2: Since the reminder 4412 ≠ 0, we apply division lemma to 2962 and 4412, to get
4412 = 2962 x 1 + 1450
Step 3: We consider the new divisor 2962 and the new remainder 1450, and apply the division lemma to get
2962 = 1450 x 2 + 62
We consider the new divisor 1450 and the new remainder 62,and apply the division lemma to get
1450 = 62 x 23 + 24
We consider the new divisor 62 and the new remainder 24,and apply the division lemma to get
62 = 24 x 2 + 14
We consider the new divisor 24 and the new remainder 14,and apply the division lemma to get
24 = 14 x 1 + 10
We consider the new divisor 14 and the new remainder 10,and apply the division lemma to get
14 = 10 x 1 + 4
We consider the new divisor 10 and the new remainder 4,and apply the division lemma to get
10 = 4 x 2 + 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 7374 and 4412 is 2
Notice that 2 = HCF(4,2) = HCF(10,4) = HCF(14,10) = HCF(24,14) = HCF(62,24) = HCF(1450,62) = HCF(2962,1450) = HCF(4412,2962) = HCF(7374,4412) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 7374, 4412 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 7374, 4412?
Answer: HCF of 7374, 4412 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7374, 4412 using Euclid's Algorithm?
Answer: For arbitrary numbers 7374, 4412 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.