Highest Common Factor of 4735, 2759 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 4735, 2759 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4735, 2759 is 1 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 4735, 2759 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 4735, 2759 is 1.
HCF(4735, 2759) = 1
HCF of 4735, 2759 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4735, 2759 is 1.
Highest Common Factor of 4735,2759 is 1
Step 1: Since 4735 > 2759, we apply the division lemma to 4735 and 2759, to get
4735 = 2759 x 1 + 1976
Step 2: Since the reminder 2759 ≠ 0, we apply division lemma to 1976 and 2759, to get
2759 = 1976 x 1 + 783
Step 3: We consider the new divisor 1976 and the new remainder 783, and apply the division lemma to get
1976 = 783 x 2 + 410
We consider the new divisor 783 and the new remainder 410,and apply the division lemma to get
783 = 410 x 1 + 373
We consider the new divisor 410 and the new remainder 373,and apply the division lemma to get
410 = 373 x 1 + 37
We consider the new divisor 373 and the new remainder 37,and apply the division lemma to get
373 = 37 x 10 + 3
We consider the new divisor 37 and the new remainder 3,and apply the division lemma to get
37 = 3 x 12 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4735 and 2759 is 1
Notice that 1 = HCF(3,1) = HCF(37,3) = HCF(373,37) = HCF(410,373) = HCF(783,410) = HCF(1976,783) = HCF(2759,1976) = HCF(4735,2759) .
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Frequently Asked Questions on HCF of 4735, 2759 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 4735, 2759?
Answer: HCF of 4735, 2759 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4735, 2759 using Euclid's Algorithm?
Answer: For arbitrary numbers 4735, 2759 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
