Highest Common Factor of 7512, 8812 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 7512, 8812 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 7512, 8812 is 4 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 7512, 8812 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 7512, 8812 is 4.
HCF(7512, 8812) = 4
HCF of 7512, 8812 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7512, 8812 is 4.
Highest Common Factor of 7512,8812 is 4
Step 1: Since 8812 > 7512, we apply the division lemma to 8812 and 7512, to get
8812 = 7512 x 1 + 1300
Step 2: Since the reminder 7512 ≠ 0, we apply division lemma to 1300 and 7512, to get
7512 = 1300 x 5 + 1012
Step 3: We consider the new divisor 1300 and the new remainder 1012, and apply the division lemma to get
1300 = 1012 x 1 + 288
We consider the new divisor 1012 and the new remainder 288,and apply the division lemma to get
1012 = 288 x 3 + 148
We consider the new divisor 288 and the new remainder 148,and apply the division lemma to get
288 = 148 x 1 + 140
We consider the new divisor 148 and the new remainder 140,and apply the division lemma to get
148 = 140 x 1 + 8
We consider the new divisor 140 and the new remainder 8,and apply the division lemma to get
140 = 8 x 17 + 4
We consider the new divisor 8 and the new remainder 4,and apply the division lemma to get
8 = 4 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 7512 and 8812 is 4
Notice that 4 = HCF(8,4) = HCF(140,8) = HCF(148,140) = HCF(288,148) = HCF(1012,288) = HCF(1300,1012) = HCF(7512,1300) = HCF(8812,7512) .
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Frequently Asked Questions on HCF of 7512, 8812 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 7512, 8812?
Answer: HCF of 7512, 8812 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7512, 8812 using Euclid's Algorithm?
Answer: For arbitrary numbers 7512, 8812 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
