Highest Common Factor of 7914, 6834 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, 6834 i.e. 6 the largest integer that leaves a remainder zero for all numbers.
HCF of 7914, 6834 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, 6834 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, 6834 is 6.
HCF(7914, 6834) = 6
HCF of 7914, 6834 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, 6834 is 6.
Highest Common Factor of 7914,6834 is 6
Step 1: Since 7914 > 6834, we apply the division lemma to 7914 and 6834, to get
7914 = 6834 x 1 + 1080
Step 2: Since the reminder 6834 ≠ 0, we apply division lemma to 1080 and 6834, to get
6834 = 1080 x 6 + 354
Step 3: We consider the new divisor 1080 and the new remainder 354, and apply the division lemma to get
1080 = 354 x 3 + 18
We consider the new divisor 354 and the new remainder 18,and apply the division lemma to get
354 = 18 x 19 + 12
We consider the new divisor 18 and the new remainder 12,and apply the division lemma to get
18 = 12 x 1 + 6
We consider the new divisor 12 and the new remainder 6,and apply the division lemma to get
12 = 6 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 6, the HCF of 7914 and 6834 is 6
Notice that 6 = HCF(12,6) = HCF(18,12) = HCF(354,18) = HCF(1080,354) = HCF(6834,1080) = HCF(7914,6834) .
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Frequently Asked Questions on HCF of 7914, 6834 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, 6834?
Answer: HCF of 7914, 6834 is 6 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7914, 6834 using Euclid's Algorithm?
Answer: For arbitrary numbers 7914, 6834 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.