Highest Common Factor of 4220, 7454 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 4220, 7454 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 4220, 7454 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 4220, 7454 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 4220, 7454 is 2.
HCF(4220, 7454) = 2
HCF of 4220, 7454 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4220, 7454 is 2.
Highest Common Factor of 4220,7454 is 2
Step 1: Since 7454 > 4220, we apply the division lemma to 7454 and 4220, to get
7454 = 4220 x 1 + 3234
Step 2: Since the reminder 4220 ≠ 0, we apply division lemma to 3234 and 4220, to get
4220 = 3234 x 1 + 986
Step 3: We consider the new divisor 3234 and the new remainder 986, and apply the division lemma to get
3234 = 986 x 3 + 276
We consider the new divisor 986 and the new remainder 276,and apply the division lemma to get
986 = 276 x 3 + 158
We consider the new divisor 276 and the new remainder 158,and apply the division lemma to get
276 = 158 x 1 + 118
We consider the new divisor 158 and the new remainder 118,and apply the division lemma to get
158 = 118 x 1 + 40
We consider the new divisor 118 and the new remainder 40,and apply the division lemma to get
118 = 40 x 2 + 38
We consider the new divisor 40 and the new remainder 38,and apply the division lemma to get
40 = 38 x 1 + 2
We consider the new divisor 38 and the new remainder 2,and apply the division lemma to get
38 = 2 x 19 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 4220 and 7454 is 2
Notice that 2 = HCF(38,2) = HCF(40,38) = HCF(118,40) = HCF(158,118) = HCF(276,158) = HCF(986,276) = HCF(3234,986) = HCF(4220,3234) = HCF(7454,4220) .
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Frequently Asked Questions on HCF of 4220, 7454 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 4220, 7454?
Answer: HCF of 4220, 7454 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4220, 7454 using Euclid's Algorithm?
Answer: For arbitrary numbers 4220, 7454 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.