Highest Common Factor of 750, 5698 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 750, 5698 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 750, 5698 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 750, 5698 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 750, 5698 is 2.
HCF(750, 5698) = 2
HCF of 750, 5698 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 750, 5698 is 2.
Highest Common Factor of 750,5698 is 2
Step 1: Since 5698 > 750, we apply the division lemma to 5698 and 750, to get
5698 = 750 x 7 + 448
Step 2: Since the reminder 750 ≠ 0, we apply division lemma to 448 and 750, to get
750 = 448 x 1 + 302
Step 3: We consider the new divisor 448 and the new remainder 302, and apply the division lemma to get
448 = 302 x 1 + 146
We consider the new divisor 302 and the new remainder 146,and apply the division lemma to get
302 = 146 x 2 + 10
We consider the new divisor 146 and the new remainder 10,and apply the division lemma to get
146 = 10 x 14 + 6
We consider the new divisor 10 and the new remainder 6,and apply the division lemma to get
10 = 6 x 1 + 4
We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get
6 = 4 x 1 + 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 750 and 5698 is 2
Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(10,6) = HCF(146,10) = HCF(302,146) = HCF(448,302) = HCF(750,448) = HCF(5698,750) .
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Frequently Asked Questions on HCF of 750, 5698 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 750, 5698?
Answer: HCF of 750, 5698 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 750, 5698 using Euclid's Algorithm?
Answer: For arbitrary numbers 750, 5698 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.