Highest Common Factor of 7242, 8912 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 7242, 8912 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 7242, 8912 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 7242, 8912 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 7242, 8912 is 2.
HCF(7242, 8912) = 2
HCF of 7242, 8912 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7242, 8912 is 2.
Highest Common Factor of 7242,8912 is 2
Step 1: Since 8912 > 7242, we apply the division lemma to 8912 and 7242, to get
8912 = 7242 x 1 + 1670
Step 2: Since the reminder 7242 ≠ 0, we apply division lemma to 1670 and 7242, to get
7242 = 1670 x 4 + 562
Step 3: We consider the new divisor 1670 and the new remainder 562, and apply the division lemma to get
1670 = 562 x 2 + 546
We consider the new divisor 562 and the new remainder 546,and apply the division lemma to get
562 = 546 x 1 + 16
We consider the new divisor 546 and the new remainder 16,and apply the division lemma to get
546 = 16 x 34 + 2
We consider the new divisor 16 and the new remainder 2,and apply the division lemma to get
16 = 2 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 7242 and 8912 is 2
Notice that 2 = HCF(16,2) = HCF(546,16) = HCF(562,546) = HCF(1670,562) = HCF(7242,1670) = HCF(8912,7242) .
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Frequently Asked Questions on HCF of 7242, 8912 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 7242, 8912?
Answer: HCF of 7242, 8912 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7242, 8912 using Euclid's Algorithm?
Answer: For arbitrary numbers 7242, 8912 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.