Highest Common Factor of 3184, 4350 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 3184, 4350 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 3184, 4350 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 3184, 4350 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 3184, 4350 is 2.
HCF(3184, 4350) = 2
HCF of 3184, 4350 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3184, 4350 is 2.
Highest Common Factor of 3184,4350 is 2
Step 1: Since 4350 > 3184, we apply the division lemma to 4350 and 3184, to get
4350 = 3184 x 1 + 1166
Step 2: Since the reminder 3184 ≠ 0, we apply division lemma to 1166 and 3184, to get
3184 = 1166 x 2 + 852
Step 3: We consider the new divisor 1166 and the new remainder 852, and apply the division lemma to get
1166 = 852 x 1 + 314
We consider the new divisor 852 and the new remainder 314,and apply the division lemma to get
852 = 314 x 2 + 224
We consider the new divisor 314 and the new remainder 224,and apply the division lemma to get
314 = 224 x 1 + 90
We consider the new divisor 224 and the new remainder 90,and apply the division lemma to get
224 = 90 x 2 + 44
We consider the new divisor 90 and the new remainder 44,and apply the division lemma to get
90 = 44 x 2 + 2
We consider the new divisor 44 and the new remainder 2,and apply the division lemma to get
44 = 2 x 22 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 3184 and 4350 is 2
Notice that 2 = HCF(44,2) = HCF(90,44) = HCF(224,90) = HCF(314,224) = HCF(852,314) = HCF(1166,852) = HCF(3184,1166) = HCF(4350,3184) .
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Frequently Asked Questions on HCF of 3184, 4350 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 3184, 4350?
Answer: HCF of 3184, 4350 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3184, 4350 using Euclid's Algorithm?
Answer: For arbitrary numbers 3184, 4350 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.