Highest Common Factor of 1012, 7244 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 1012, 7244 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 1012, 7244 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 1012, 7244 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 1012, 7244 is 4.
HCF(1012, 7244) = 4
HCF of 1012, 7244 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1012, 7244 is 4.
Highest Common Factor of 1012,7244 is 4
Step 1: Since 7244 > 1012, we apply the division lemma to 7244 and 1012, to get
7244 = 1012 x 7 + 160
Step 2: Since the reminder 1012 ≠ 0, we apply division lemma to 160 and 1012, to get
1012 = 160 x 6 + 52
Step 3: We consider the new divisor 160 and the new remainder 52, and apply the division lemma to get
160 = 52 x 3 + 4
We consider the new divisor 52 and the new remainder 4, and apply the division lemma to get
52 = 4 x 13 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 1012 and 7244 is 4
Notice that 4 = HCF(52,4) = HCF(160,52) = HCF(1012,160) = HCF(7244,1012) .
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Frequently Asked Questions on HCF of 1012, 7244 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 1012, 7244?
Answer: HCF of 1012, 7244 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1012, 7244 using Euclid's Algorithm?
Answer: For arbitrary numbers 1012, 7244 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
