Highest Common Factor of 7252, 2226 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 7252, 2226 i.e. 14 the largest integer that leaves a remainder zero for all numbers.
HCF of 7252, 2226 is 14 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 7252, 2226 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 7252, 2226 is 14.
HCF(7252, 2226) = 14
HCF of 7252, 2226 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7252, 2226 is 14.
Highest Common Factor of 7252,2226 is 14
Step 1: Since 7252 > 2226, we apply the division lemma to 7252 and 2226, to get
7252 = 2226 x 3 + 574
Step 2: Since the reminder 2226 ≠ 0, we apply division lemma to 574 and 2226, to get
2226 = 574 x 3 + 504
Step 3: We consider the new divisor 574 and the new remainder 504, and apply the division lemma to get
574 = 504 x 1 + 70
We consider the new divisor 504 and the new remainder 70,and apply the division lemma to get
504 = 70 x 7 + 14
We consider the new divisor 70 and the new remainder 14,and apply the division lemma to get
70 = 14 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 14, the HCF of 7252 and 2226 is 14
Notice that 14 = HCF(70,14) = HCF(504,70) = HCF(574,504) = HCF(2226,574) = HCF(7252,2226) .
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Frequently Asked Questions on HCF of 7252, 2226 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 7252, 2226?
Answer: HCF of 7252, 2226 is 14 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7252, 2226 using Euclid's Algorithm?
Answer: For arbitrary numbers 7252, 2226 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.