Highest Common Factor of 4856, 3430 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 4856, 3430 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 4856, 3430 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 4856, 3430 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 4856, 3430 is 2.
HCF(4856, 3430) = 2
HCF of 4856, 3430 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4856, 3430 is 2.
Highest Common Factor of 4856,3430 is 2
Step 1: Since 4856 > 3430, we apply the division lemma to 4856 and 3430, to get
4856 = 3430 x 1 + 1426
Step 2: Since the reminder 3430 ≠ 0, we apply division lemma to 1426 and 3430, to get
3430 = 1426 x 2 + 578
Step 3: We consider the new divisor 1426 and the new remainder 578, and apply the division lemma to get
1426 = 578 x 2 + 270
We consider the new divisor 578 and the new remainder 270,and apply the division lemma to get
578 = 270 x 2 + 38
We consider the new divisor 270 and the new remainder 38,and apply the division lemma to get
270 = 38 x 7 + 4
We consider the new divisor 38 and the new remainder 4,and apply the division lemma to get
38 = 4 x 9 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 4856 and 3430 is 2
Notice that 2 = HCF(4,2) = HCF(38,4) = HCF(270,38) = HCF(578,270) = HCF(1426,578) = HCF(3430,1426) = HCF(4856,3430) .
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Frequently Asked Questions on HCF of 4856, 3430 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 4856, 3430?
Answer: HCF of 4856, 3430 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4856, 3430 using Euclid's Algorithm?
Answer: For arbitrary numbers 4856, 3430 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.