Highest Common Factor of 4358, 5850 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, 5850 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 4358, 5850 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, 5850 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, 5850 is 2.
HCF(4358, 5850) = 2
HCF of 4358, 5850 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, 5850 is 2.
Highest Common Factor of 4358,5850 is 2
Step 1: Since 5850 > 4358, we apply the division lemma to 5850 and 4358, to get
5850 = 4358 x 1 + 1492
Step 2: Since the reminder 4358 ≠ 0, we apply division lemma to 1492 and 4358, to get
4358 = 1492 x 2 + 1374
Step 3: We consider the new divisor 1492 and the new remainder 1374, and apply the division lemma to get
1492 = 1374 x 1 + 118
We consider the new divisor 1374 and the new remainder 118,and apply the division lemma to get
1374 = 118 x 11 + 76
We consider the new divisor 118 and the new remainder 76,and apply the division lemma to get
118 = 76 x 1 + 42
We consider the new divisor 76 and the new remainder 42,and apply the division lemma to get
76 = 42 x 1 + 34
We consider the new divisor 42 and the new remainder 34,and apply the division lemma to get
42 = 34 x 1 + 8
We consider the new divisor 34 and the new remainder 8,and apply the division lemma to get
34 = 8 x 4 + 2
We consider the new divisor 8 and the new remainder 2,and apply the division lemma to get
8 = 2 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 4358 and 5850 is 2
Notice that 2 = HCF(8,2) = HCF(34,8) = HCF(42,34) = HCF(76,42) = HCF(118,76) = HCF(1374,118) = HCF(1492,1374) = HCF(4358,1492) = HCF(5850,4358) .
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Frequently Asked Questions on HCF of 4358, 5850 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, 5850?
Answer: HCF of 4358, 5850 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4358, 5850 using Euclid's Algorithm?
Answer: For arbitrary numbers 4358, 5850 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.