Highest Common Factor of 7718, 4284 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 7718, 4284 i.e. 34 the largest integer that leaves a remainder zero for all numbers.
HCF of 7718, 4284 is 34 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 7718, 4284 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 7718, 4284 is 34.
HCF(7718, 4284) = 34
HCF of 7718, 4284 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7718, 4284 is 34.
Highest Common Factor of 7718,4284 is 34
Step 1: Since 7718 > 4284, we apply the division lemma to 7718 and 4284, to get
7718 = 4284 x 1 + 3434
Step 2: Since the reminder 4284 ≠ 0, we apply division lemma to 3434 and 4284, to get
4284 = 3434 x 1 + 850
Step 3: We consider the new divisor 3434 and the new remainder 850, and apply the division lemma to get
3434 = 850 x 4 + 34
We consider the new divisor 850 and the new remainder 34, and apply the division lemma to get
850 = 34 x 25 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 34, the HCF of 7718 and 4284 is 34
Notice that 34 = HCF(850,34) = HCF(3434,850) = HCF(4284,3434) = HCF(7718,4284) .
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Frequently Asked Questions on HCF of 7718, 4284 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 7718, 4284?
Answer: HCF of 7718, 4284 is 34 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7718, 4284 using Euclid's Algorithm?
Answer: For arbitrary numbers 7718, 4284 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.