Highest Common Factor of 7401, 5224 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 7401, 5224 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7401, 5224 is 1 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 7401, 5224 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 7401, 5224 is 1.
HCF(7401, 5224) = 1
HCF of 7401, 5224 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7401, 5224 is 1.
Highest Common Factor of 7401,5224 is 1
Step 1: Since 7401 > 5224, we apply the division lemma to 7401 and 5224, to get
7401 = 5224 x 1 + 2177
Step 2: Since the reminder 5224 ≠ 0, we apply division lemma to 2177 and 5224, to get
5224 = 2177 x 2 + 870
Step 3: We consider the new divisor 2177 and the new remainder 870, and apply the division lemma to get
2177 = 870 x 2 + 437
We consider the new divisor 870 and the new remainder 437,and apply the division lemma to get
870 = 437 x 1 + 433
We consider the new divisor 437 and the new remainder 433,and apply the division lemma to get
437 = 433 x 1 + 4
We consider the new divisor 433 and the new remainder 4,and apply the division lemma to get
433 = 4 x 108 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7401 and 5224 is 1
Notice that 1 = HCF(4,1) = HCF(433,4) = HCF(437,433) = HCF(870,437) = HCF(2177,870) = HCF(5224,2177) = HCF(7401,5224) .
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Frequently Asked Questions on HCF of 7401, 5224 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 7401, 5224?
Answer: HCF of 7401, 5224 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7401, 5224 using Euclid's Algorithm?
Answer: For arbitrary numbers 7401, 5224 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.