Highest Common Factor of 4376, 7536, 88834 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 4376, 7536, 88834 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 4376, 7536, 88834 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 4376, 7536, 88834 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 4376, 7536, 88834 is 2.
HCF(4376, 7536, 88834) = 2
HCF of 4376, 7536, 88834 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4376, 7536, 88834 is 2.
Highest Common Factor of 4376,7536,88834 is 2
Step 1: Since 7536 > 4376, we apply the division lemma to 7536 and 4376, to get
7536 = 4376 x 1 + 3160
Step 2: Since the reminder 4376 ≠ 0, we apply division lemma to 3160 and 4376, to get
4376 = 3160 x 1 + 1216
Step 3: We consider the new divisor 3160 and the new remainder 1216, and apply the division lemma to get
3160 = 1216 x 2 + 728
We consider the new divisor 1216 and the new remainder 728,and apply the division lemma to get
1216 = 728 x 1 + 488
We consider the new divisor 728 and the new remainder 488,and apply the division lemma to get
728 = 488 x 1 + 240
We consider the new divisor 488 and the new remainder 240,and apply the division lemma to get
488 = 240 x 2 + 8
We consider the new divisor 240 and the new remainder 8,and apply the division lemma to get
240 = 8 x 30 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 8, the HCF of 4376 and 7536 is 8
Notice that 8 = HCF(240,8) = HCF(488,240) = HCF(728,488) = HCF(1216,728) = HCF(3160,1216) = HCF(4376,3160) = HCF(7536,4376) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 88834 > 8, we apply the division lemma to 88834 and 8, to get
88834 = 8 x 11104 + 2
Step 2: Since the reminder 8 ≠ 0, we apply division lemma to 2 and 8, to get
8 = 2 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 8 and 88834 is 2
Notice that 2 = HCF(8,2) = HCF(88834,8) .
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Frequently Asked Questions on HCF of 4376, 7536, 88834 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 4376, 7536, 88834?
Answer: HCF of 4376, 7536, 88834 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4376, 7536, 88834 using Euclid's Algorithm?
Answer: For arbitrary numbers 4376, 7536, 88834 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.