Highest Common Factor of 4854, 6046 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 4854, 6046 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 4854, 6046 is 2 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 4854, 6046 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 4854, 6046 is 2.
HCF(4854, 6046) = 2
HCF of 4854, 6046 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4854, 6046 is 2.
Highest Common Factor of 4854,6046 is 2
Step 1: Since 6046 > 4854, we apply the division lemma to 6046 and 4854, to get
6046 = 4854 x 1 + 1192
Step 2: Since the reminder 4854 ≠ 0, we apply division lemma to 1192 and 4854, to get
4854 = 1192 x 4 + 86
Step 3: We consider the new divisor 1192 and the new remainder 86, and apply the division lemma to get
1192 = 86 x 13 + 74
We consider the new divisor 86 and the new remainder 74,and apply the division lemma to get
86 = 74 x 1 + 12
We consider the new divisor 74 and the new remainder 12,and apply the division lemma to get
74 = 12 x 6 + 2
We consider the new divisor 12 and the new remainder 2,and apply the division lemma to get
12 = 2 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 4854 and 6046 is 2
Notice that 2 = HCF(12,2) = HCF(74,12) = HCF(86,74) = HCF(1192,86) = HCF(4854,1192) = HCF(6046,4854) .
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Frequently Asked Questions on HCF of 4854, 6046 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 4854, 6046?
Answer: HCF of 4854, 6046 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4854, 6046 using Euclid's Algorithm?
Answer: For arbitrary numbers 4854, 6046 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.