Highest Common Factor of 7851, 5714 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 7851, 5714 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7851, 5714 is 1 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 7851, 5714 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 7851, 5714 is 1.
HCF(7851, 5714) = 1
HCF of 7851, 5714 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7851, 5714 is 1.
Highest Common Factor of 7851,5714 is 1
Step 1: Since 7851 > 5714, we apply the division lemma to 7851 and 5714, to get
7851 = 5714 x 1 + 2137
Step 2: Since the reminder 5714 ≠ 0, we apply division lemma to 2137 and 5714, to get
5714 = 2137 x 2 + 1440
Step 3: We consider the new divisor 2137 and the new remainder 1440, and apply the division lemma to get
2137 = 1440 x 1 + 697
We consider the new divisor 1440 and the new remainder 697,and apply the division lemma to get
1440 = 697 x 2 + 46
We consider the new divisor 697 and the new remainder 46,and apply the division lemma to get
697 = 46 x 15 + 7
We consider the new divisor 46 and the new remainder 7,and apply the division lemma to get
46 = 7 x 6 + 4
We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get
7 = 4 x 1 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7851 and 5714 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(46,7) = HCF(697,46) = HCF(1440,697) = HCF(2137,1440) = HCF(5714,2137) = HCF(7851,5714) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 7851, 5714 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 7851, 5714?
Answer: HCF of 7851, 5714 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7851, 5714 using Euclid's Algorithm?
Answer: For arbitrary numbers 7851, 5714 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.