Highest Common Factor of 4242, 3502 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 4242, 3502 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 4242, 3502 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 4242, 3502 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 4242, 3502 is 2.
HCF(4242, 3502) = 2
HCF of 4242, 3502 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4242, 3502 is 2.
Highest Common Factor of 4242,3502 is 2
Step 1: Since 4242 > 3502, we apply the division lemma to 4242 and 3502, to get
4242 = 3502 x 1 + 740
Step 2: Since the reminder 3502 ≠ 0, we apply division lemma to 740 and 3502, to get
3502 = 740 x 4 + 542
Step 3: We consider the new divisor 740 and the new remainder 542, and apply the division lemma to get
740 = 542 x 1 + 198
We consider the new divisor 542 and the new remainder 198,and apply the division lemma to get
542 = 198 x 2 + 146
We consider the new divisor 198 and the new remainder 146,and apply the division lemma to get
198 = 146 x 1 + 52
We consider the new divisor 146 and the new remainder 52,and apply the division lemma to get
146 = 52 x 2 + 42
We consider the new divisor 52 and the new remainder 42,and apply the division lemma to get
52 = 42 x 1 + 10
We consider the new divisor 42 and the new remainder 10,and apply the division lemma to get
42 = 10 x 4 + 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 4242 and 3502 is 2
Notice that 2 = HCF(10,2) = HCF(42,10) = HCF(52,42) = HCF(146,52) = HCF(198,146) = HCF(542,198) = HCF(740,542) = HCF(3502,740) = HCF(4242,3502) .
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Frequently Asked Questions on HCF of 4242, 3502 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 4242, 3502?
Answer: HCF of 4242, 3502 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4242, 3502 using Euclid's Algorithm?
Answer: For arbitrary numbers 4242, 3502 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.