Highest Common Factor of 7994, 7857 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 7994, 7857 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7994, 7857 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 7994, 7857 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 7994, 7857 is 1.
HCF(7994, 7857) = 1
HCF of 7994, 7857 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7994, 7857 is 1.
Highest Common Factor of 7994,7857 is 1
Step 1: Since 7994 > 7857, we apply the division lemma to 7994 and 7857, to get
7994 = 7857 x 1 + 137
Step 2: Since the reminder 7857 ≠ 0, we apply division lemma to 137 and 7857, to get
7857 = 137 x 57 + 48
Step 3: We consider the new divisor 137 and the new remainder 48, and apply the division lemma to get
137 = 48 x 2 + 41
We consider the new divisor 48 and the new remainder 41,and apply the division lemma to get
48 = 41 x 1 + 7
We consider the new divisor 41 and the new remainder 7,and apply the division lemma to get
41 = 7 x 5 + 6
We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get
7 = 6 x 1 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7994 and 7857 is 1
Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(41,7) = HCF(48,41) = HCF(137,48) = HCF(7857,137) = HCF(7994,7857) .
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Frequently Asked Questions on HCF of 7994, 7857 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 7994, 7857?
Answer: HCF of 7994, 7857 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7994, 7857 using Euclid's Algorithm?
Answer: For arbitrary numbers 7994, 7857 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.