Highest Common Factor of 4488, 7672 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 4488, 7672 i.e. 8 the largest integer that leaves a remainder zero for all numbers.
HCF of 4488, 7672 is 8 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 4488, 7672 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 4488, 7672 is 8.
HCF(4488, 7672) = 8
HCF of 4488, 7672 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4488, 7672 is 8.
Highest Common Factor of 4488,7672 is 8
Step 1: Since 7672 > 4488, we apply the division lemma to 7672 and 4488, to get
7672 = 4488 x 1 + 3184
Step 2: Since the reminder 4488 ≠ 0, we apply division lemma to 3184 and 4488, to get
4488 = 3184 x 1 + 1304
Step 3: We consider the new divisor 3184 and the new remainder 1304, and apply the division lemma to get
3184 = 1304 x 2 + 576
We consider the new divisor 1304 and the new remainder 576,and apply the division lemma to get
1304 = 576 x 2 + 152
We consider the new divisor 576 and the new remainder 152,and apply the division lemma to get
576 = 152 x 3 + 120
We consider the new divisor 152 and the new remainder 120,and apply the division lemma to get
152 = 120 x 1 + 32
We consider the new divisor 120 and the new remainder 32,and apply the division lemma to get
120 = 32 x 3 + 24
We consider the new divisor 32 and the new remainder 24,and apply the division lemma to get
32 = 24 x 1 + 8
We consider the new divisor 24 and the new remainder 8,and apply the division lemma to get
24 = 8 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 8, the HCF of 4488 and 7672 is 8
Notice that 8 = HCF(24,8) = HCF(32,24) = HCF(120,32) = HCF(152,120) = HCF(576,152) = HCF(1304,576) = HCF(3184,1304) = HCF(4488,3184) = HCF(7672,4488) .
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Frequently Asked Questions on HCF of 4488, 7672 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 4488, 7672?
Answer: HCF of 4488, 7672 is 8 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4488, 7672 using Euclid's Algorithm?
Answer: For arbitrary numbers 4488, 7672 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
