Highest Common Factor of 7412, 3108 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 7412, 3108 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 7412, 3108 is 4 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 7412, 3108 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 7412, 3108 is 4.
HCF(7412, 3108) = 4
HCF of 7412, 3108 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7412, 3108 is 4.
Highest Common Factor of 7412,3108 is 4
Step 1: Since 7412 > 3108, we apply the division lemma to 7412 and 3108, to get
7412 = 3108 x 2 + 1196
Step 2: Since the reminder 3108 ≠ 0, we apply division lemma to 1196 and 3108, to get
3108 = 1196 x 2 + 716
Step 3: We consider the new divisor 1196 and the new remainder 716, and apply the division lemma to get
1196 = 716 x 1 + 480
We consider the new divisor 716 and the new remainder 480,and apply the division lemma to get
716 = 480 x 1 + 236
We consider the new divisor 480 and the new remainder 236,and apply the division lemma to get
480 = 236 x 2 + 8
We consider the new divisor 236 and the new remainder 8,and apply the division lemma to get
236 = 8 x 29 + 4
We consider the new divisor 8 and the new remainder 4,and apply the division lemma to get
8 = 4 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 7412 and 3108 is 4
Notice that 4 = HCF(8,4) = HCF(236,8) = HCF(480,236) = HCF(716,480) = HCF(1196,716) = HCF(3108,1196) = HCF(7412,3108) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 7412, 3108 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 7412, 3108?
Answer: HCF of 7412, 3108 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7412, 3108 using Euclid's Algorithm?
Answer: For arbitrary numbers 7412, 3108 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.