Highest Common Factor of 4252, 1574, 94864 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 4252, 1574, 94864 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 4252, 1574, 94864 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 4252, 1574, 94864 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 4252, 1574, 94864 is 2.
HCF(4252, 1574, 94864) = 2
HCF of 4252, 1574, 94864 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4252, 1574, 94864 is 2.
Highest Common Factor of 4252,1574,94864 is 2
Step 1: Since 4252 > 1574, we apply the division lemma to 4252 and 1574, to get
4252 = 1574 x 2 + 1104
Step 2: Since the reminder 1574 ≠ 0, we apply division lemma to 1104 and 1574, to get
1574 = 1104 x 1 + 470
Step 3: We consider the new divisor 1104 and the new remainder 470, and apply the division lemma to get
1104 = 470 x 2 + 164
We consider the new divisor 470 and the new remainder 164,and apply the division lemma to get
470 = 164 x 2 + 142
We consider the new divisor 164 and the new remainder 142,and apply the division lemma to get
164 = 142 x 1 + 22
We consider the new divisor 142 and the new remainder 22,and apply the division lemma to get
142 = 22 x 6 + 10
We consider the new divisor 22 and the new remainder 10,and apply the division lemma to get
22 = 10 x 2 + 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 4252 and 1574 is 2
Notice that 2 = HCF(10,2) = HCF(22,10) = HCF(142,22) = HCF(164,142) = HCF(470,164) = HCF(1104,470) = HCF(1574,1104) = HCF(4252,1574) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 94864 > 2, we apply the division lemma to 94864 and 2, to get
94864 = 2 x 47432 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 94864 is 2
Notice that 2 = HCF(94864,2) .
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Frequently Asked Questions on HCF of 4252, 1574, 94864 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 4252, 1574, 94864?
Answer: HCF of 4252, 1574, 94864 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4252, 1574, 94864 using Euclid's Algorithm?
Answer: For arbitrary numbers 4252, 1574, 94864 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
