Highest Common Factor of 7914, 2094 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 7914, 2094 i.e. 6 the largest integer that leaves a remainder zero for all numbers.
HCF of 7914, 2094 is 6 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 7914, 2094 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 7914, 2094 is 6.
HCF(7914, 2094) = 6
HCF of 7914, 2094 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7914, 2094 is 6.
Highest Common Factor of 7914,2094 is 6
Step 1: Since 7914 > 2094, we apply the division lemma to 7914 and 2094, to get
7914 = 2094 x 3 + 1632
Step 2: Since the reminder 2094 ≠ 0, we apply division lemma to 1632 and 2094, to get
2094 = 1632 x 1 + 462
Step 3: We consider the new divisor 1632 and the new remainder 462, and apply the division lemma to get
1632 = 462 x 3 + 246
We consider the new divisor 462 and the new remainder 246,and apply the division lemma to get
462 = 246 x 1 + 216
We consider the new divisor 246 and the new remainder 216,and apply the division lemma to get
246 = 216 x 1 + 30
We consider the new divisor 216 and the new remainder 30,and apply the division lemma to get
216 = 30 x 7 + 6
We consider the new divisor 30 and the new remainder 6,and apply the division lemma to get
30 = 6 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 6, the HCF of 7914 and 2094 is 6
Notice that 6 = HCF(30,6) = HCF(216,30) = HCF(246,216) = HCF(462,246) = HCF(1632,462) = HCF(2094,1632) = HCF(7914,2094) .
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Frequently Asked Questions on HCF of 7914, 2094 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 7914, 2094?
Answer: HCF of 7914, 2094 is 6 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7914, 2094 using Euclid's Algorithm?
Answer: For arbitrary numbers 7914, 2094 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.