Highest Common Factor of 424, 3078 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 424, 3078 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 424, 3078 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 424, 3078 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 424, 3078 is 2.
HCF(424, 3078) = 2
HCF of 424, 3078 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 424, 3078 is 2.
Highest Common Factor of 424,3078 is 2
Step 1: Since 3078 > 424, we apply the division lemma to 3078 and 424, to get
3078 = 424 x 7 + 110
Step 2: Since the reminder 424 ≠ 0, we apply division lemma to 110 and 424, to get
424 = 110 x 3 + 94
Step 3: We consider the new divisor 110 and the new remainder 94, and apply the division lemma to get
110 = 94 x 1 + 16
We consider the new divisor 94 and the new remainder 16,and apply the division lemma to get
94 = 16 x 5 + 14
We consider the new divisor 16 and the new remainder 14,and apply the division lemma to get
16 = 14 x 1 + 2
We consider the new divisor 14 and the new remainder 2,and apply the division lemma to get
14 = 2 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 424 and 3078 is 2
Notice that 2 = HCF(14,2) = HCF(16,14) = HCF(94,16) = HCF(110,94) = HCF(424,110) = HCF(3078,424) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 424, 3078 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 424, 3078?
Answer: HCF of 424, 3078 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 424, 3078 using Euclid's Algorithm?
Answer: For arbitrary numbers 424, 3078 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.