Highest Common Factor of 1288, 4760 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 1288, 4760 i.e. 56 the largest integer that leaves a remainder zero for all numbers.
HCF of 1288, 4760 is 56 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 1288, 4760 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 1288, 4760 is 56.
HCF(1288, 4760) = 56
HCF of 1288, 4760 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1288, 4760 is 56.
Highest Common Factor of 1288,4760 is 56
Step 1: Since 4760 > 1288, we apply the division lemma to 4760 and 1288, to get
4760 = 1288 x 3 + 896
Step 2: Since the reminder 1288 ≠ 0, we apply division lemma to 896 and 1288, to get
1288 = 896 x 1 + 392
Step 3: We consider the new divisor 896 and the new remainder 392, and apply the division lemma to get
896 = 392 x 2 + 112
We consider the new divisor 392 and the new remainder 112,and apply the division lemma to get
392 = 112 x 3 + 56
We consider the new divisor 112 and the new remainder 56,and apply the division lemma to get
112 = 56 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 56, the HCF of 1288 and 4760 is 56
Notice that 56 = HCF(112,56) = HCF(392,112) = HCF(896,392) = HCF(1288,896) = HCF(4760,1288) .
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Frequently Asked Questions on HCF of 1288, 4760 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 1288, 4760?
Answer: HCF of 1288, 4760 is 56 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1288, 4760 using Euclid's Algorithm?
Answer: For arbitrary numbers 1288, 4760 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.