Highest Common Factor of 4378, 8532 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 4378, 8532 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 4378, 8532 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 4378, 8532 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 4378, 8532 is 2.
HCF(4378, 8532) = 2
HCF of 4378, 8532 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4378, 8532 is 2.
Highest Common Factor of 4378,8532 is 2
Step 1: Since 8532 > 4378, we apply the division lemma to 8532 and 4378, to get
8532 = 4378 x 1 + 4154
Step 2: Since the reminder 4378 ≠ 0, we apply division lemma to 4154 and 4378, to get
4378 = 4154 x 1 + 224
Step 3: We consider the new divisor 4154 and the new remainder 224, and apply the division lemma to get
4154 = 224 x 18 + 122
We consider the new divisor 224 and the new remainder 122,and apply the division lemma to get
224 = 122 x 1 + 102
We consider the new divisor 122 and the new remainder 102,and apply the division lemma to get
122 = 102 x 1 + 20
We consider the new divisor 102 and the new remainder 20,and apply the division lemma to get
102 = 20 x 5 + 2
We consider the new divisor 20 and the new remainder 2,and apply the division lemma to get
20 = 2 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 4378 and 8532 is 2
Notice that 2 = HCF(20,2) = HCF(102,20) = HCF(122,102) = HCF(224,122) = HCF(4154,224) = HCF(4378,4154) = HCF(8532,4378) .
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Frequently Asked Questions on HCF of 4378, 8532 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 4378, 8532?
Answer: HCF of 4378, 8532 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4378, 8532 using Euclid's Algorithm?
Answer: For arbitrary numbers 4378, 8532 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.