Highest Common Factor of 1848, 9654 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 1848, 9654 i.e. 6 the largest integer that leaves a remainder zero for all numbers.
HCF of 1848, 9654 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 1848, 9654 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 1848, 9654 is 6.
HCF(1848, 9654) = 6
HCF of 1848, 9654 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1848, 9654 is 6.
Highest Common Factor of 1848,9654 is 6
Step 1: Since 9654 > 1848, we apply the division lemma to 9654 and 1848, to get
9654 = 1848 x 5 + 414
Step 2: Since the reminder 1848 ≠ 0, we apply division lemma to 414 and 1848, to get
1848 = 414 x 4 + 192
Step 3: We consider the new divisor 414 and the new remainder 192, and apply the division lemma to get
414 = 192 x 2 + 30
We consider the new divisor 192 and the new remainder 30,and apply the division lemma to get
192 = 30 x 6 + 12
We consider the new divisor 30 and the new remainder 12,and apply the division lemma to get
30 = 12 x 2 + 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 1848 and 9654 is 6
Notice that 6 = HCF(12,6) = HCF(30,12) = HCF(192,30) = HCF(414,192) = HCF(1848,414) = HCF(9654,1848) .
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Frequently Asked Questions on HCF of 1848, 9654 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 1848, 9654?
Answer: HCF of 1848, 9654 is 6 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1848, 9654 using Euclid's Algorithm?
Answer: For arbitrary numbers 1848, 9654 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.