Highest Common Factor of 2702, 4430 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 2702, 4430 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 2702, 4430 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 2702, 4430 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 2702, 4430 is 2.
HCF(2702, 4430) = 2
HCF of 2702, 4430 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2702, 4430 is 2.
Highest Common Factor of 2702,4430 is 2
Step 1: Since 4430 > 2702, we apply the division lemma to 4430 and 2702, to get
4430 = 2702 x 1 + 1728
Step 2: Since the reminder 2702 ≠ 0, we apply division lemma to 1728 and 2702, to get
2702 = 1728 x 1 + 974
Step 3: We consider the new divisor 1728 and the new remainder 974, and apply the division lemma to get
1728 = 974 x 1 + 754
We consider the new divisor 974 and the new remainder 754,and apply the division lemma to get
974 = 754 x 1 + 220
We consider the new divisor 754 and the new remainder 220,and apply the division lemma to get
754 = 220 x 3 + 94
We consider the new divisor 220 and the new remainder 94,and apply the division lemma to get
220 = 94 x 2 + 32
We consider the new divisor 94 and the new remainder 32,and apply the division lemma to get
94 = 32 x 2 + 30
We consider the new divisor 32 and the new remainder 30,and apply the division lemma to get
32 = 30 x 1 + 2
We consider the new divisor 30 and the new remainder 2,and apply the division lemma to get
30 = 2 x 15 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2702 and 4430 is 2
Notice that 2 = HCF(30,2) = HCF(32,30) = HCF(94,32) = HCF(220,94) = HCF(754,220) = HCF(974,754) = HCF(1728,974) = HCF(2702,1728) = HCF(4430,2702) .
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Frequently Asked Questions on HCF of 2702, 4430 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 2702, 4430?
Answer: HCF of 2702, 4430 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2702, 4430 using Euclid's Algorithm?
Answer: For arbitrary numbers 2702, 4430 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.