Highest Common Factor of 1458, 1756 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 1458, 1756 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 1458, 1756 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 1458, 1756 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 1458, 1756 is 2.
HCF(1458, 1756) = 2
HCF of 1458, 1756 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1458, 1756 is 2.
Highest Common Factor of 1458,1756 is 2
Step 1: Since 1756 > 1458, we apply the division lemma to 1756 and 1458, to get
1756 = 1458 x 1 + 298
Step 2: Since the reminder 1458 ≠ 0, we apply division lemma to 298 and 1458, to get
1458 = 298 x 4 + 266
Step 3: We consider the new divisor 298 and the new remainder 266, and apply the division lemma to get
298 = 266 x 1 + 32
We consider the new divisor 266 and the new remainder 32,and apply the division lemma to get
266 = 32 x 8 + 10
We consider the new divisor 32 and the new remainder 10,and apply the division lemma to get
32 = 10 x 3 + 2
We consider the new divisor 10 and the new remainder 2,and apply the division lemma to get
10 = 2 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 1458 and 1756 is 2
Notice that 2 = HCF(10,2) = HCF(32,10) = HCF(266,32) = HCF(298,266) = HCF(1458,298) = HCF(1756,1458) .
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Frequently Asked Questions on HCF of 1458, 1756 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 1458, 1756?
Answer: HCF of 1458, 1756 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1458, 1756 using Euclid's Algorithm?
Answer: For arbitrary numbers 1458, 1756 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.