Highest Common Factor of 1302, 4837, 33201 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 1302, 4837, 33201 i.e. 7 the largest integer that leaves a remainder zero for all numbers.
HCF of 1302, 4837, 33201 is 7 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 1302, 4837, 33201 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 1302, 4837, 33201 is 7.
HCF(1302, 4837, 33201) = 7
HCF of 1302, 4837, 33201 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1302, 4837, 33201 is 7.
Highest Common Factor of 1302,4837,33201 is 7
Step 1: Since 4837 > 1302, we apply the division lemma to 4837 and 1302, to get
4837 = 1302 x 3 + 931
Step 2: Since the reminder 1302 ≠ 0, we apply division lemma to 931 and 1302, to get
1302 = 931 x 1 + 371
Step 3: We consider the new divisor 931 and the new remainder 371, and apply the division lemma to get
931 = 371 x 2 + 189
We consider the new divisor 371 and the new remainder 189,and apply the division lemma to get
371 = 189 x 1 + 182
We consider the new divisor 189 and the new remainder 182,and apply the division lemma to get
189 = 182 x 1 + 7
We consider the new divisor 182 and the new remainder 7,and apply the division lemma to get
182 = 7 x 26 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 1302 and 4837 is 7
Notice that 7 = HCF(182,7) = HCF(189,182) = HCF(371,189) = HCF(931,371) = HCF(1302,931) = HCF(4837,1302) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 33201 > 7, we apply the division lemma to 33201 and 7, to get
33201 = 7 x 4743 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 7 and 33201 is 7
Notice that 7 = HCF(33201,7) .
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Frequently Asked Questions on HCF of 1302, 4837, 33201 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 1302, 4837, 33201?
Answer: HCF of 1302, 4837, 33201 is 7 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1302, 4837, 33201 using Euclid's Algorithm?
Answer: For arbitrary numbers 1302, 4837, 33201 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.