Highest Common Factor of 4358, 3056 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 4358, 3056 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 4358, 3056 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 4358, 3056 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 4358, 3056 is 2.
HCF(4358, 3056) = 2
HCF of 4358, 3056 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4358, 3056 is 2.
Highest Common Factor of 4358,3056 is 2
Step 1: Since 4358 > 3056, we apply the division lemma to 4358 and 3056, to get
4358 = 3056 x 1 + 1302
Step 2: Since the reminder 3056 ≠ 0, we apply division lemma to 1302 and 3056, to get
3056 = 1302 x 2 + 452
Step 3: We consider the new divisor 1302 and the new remainder 452, and apply the division lemma to get
1302 = 452 x 2 + 398
We consider the new divisor 452 and the new remainder 398,and apply the division lemma to get
452 = 398 x 1 + 54
We consider the new divisor 398 and the new remainder 54,and apply the division lemma to get
398 = 54 x 7 + 20
We consider the new divisor 54 and the new remainder 20,and apply the division lemma to get
54 = 20 x 2 + 14
We consider the new divisor 20 and the new remainder 14,and apply the division lemma to get
20 = 14 x 1 + 6
We consider the new divisor 14 and the new remainder 6,and apply the division lemma to get
14 = 6 x 2 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 4358 and 3056 is 2
Notice that 2 = HCF(6,2) = HCF(14,6) = HCF(20,14) = HCF(54,20) = HCF(398,54) = HCF(452,398) = HCF(1302,452) = HCF(3056,1302) = HCF(4358,3056) .
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Frequently Asked Questions on HCF of 4358, 3056 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 4358, 3056?
Answer: HCF of 4358, 3056 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4358, 3056 using Euclid's Algorithm?
Answer: For arbitrary numbers 4358, 3056 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.