Highest Common Factor of 7425, 4223, 85692 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 7425, 4223, 85692 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7425, 4223, 85692 is 1 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 7425, 4223, 85692 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 7425, 4223, 85692 is 1.
HCF(7425, 4223, 85692) = 1
HCF of 7425, 4223, 85692 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7425, 4223, 85692 is 1.
Highest Common Factor of 7425,4223,85692 is 1
Step 1: Since 7425 > 4223, we apply the division lemma to 7425 and 4223, to get
7425 = 4223 x 1 + 3202
Step 2: Since the reminder 4223 ≠ 0, we apply division lemma to 3202 and 4223, to get
4223 = 3202 x 1 + 1021
Step 3: We consider the new divisor 3202 and the new remainder 1021, and apply the division lemma to get
3202 = 1021 x 3 + 139
We consider the new divisor 1021 and the new remainder 139,and apply the division lemma to get
1021 = 139 x 7 + 48
We consider the new divisor 139 and the new remainder 48,and apply the division lemma to get
139 = 48 x 2 + 43
We consider the new divisor 48 and the new remainder 43,and apply the division lemma to get
48 = 43 x 1 + 5
We consider the new divisor 43 and the new remainder 5,and apply the division lemma to get
43 = 5 x 8 + 3
We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get
5 = 3 x 1 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7425 and 4223 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(43,5) = HCF(48,43) = HCF(139,48) = HCF(1021,139) = HCF(3202,1021) = HCF(4223,3202) = HCF(7425,4223) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 85692 > 1, we apply the division lemma to 85692 and 1, to get
85692 = 1 x 85692 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 85692 is 1
Notice that 1 = HCF(85692,1) .
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Frequently Asked Questions on HCF of 7425, 4223, 85692 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 7425, 4223, 85692?
Answer: HCF of 7425, 4223, 85692 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7425, 4223, 85692 using Euclid's Algorithm?
Answer: For arbitrary numbers 7425, 4223, 85692 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.