Highest Common Factor of 2924, 7448 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 2924, 7448 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 2924, 7448 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 2924, 7448 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 2924, 7448 is 4.
HCF(2924, 7448) = 4
HCF of 2924, 7448 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2924, 7448 is 4.
Highest Common Factor of 2924,7448 is 4
Step 1: Since 7448 > 2924, we apply the division lemma to 7448 and 2924, to get
7448 = 2924 x 2 + 1600
Step 2: Since the reminder 2924 ≠ 0, we apply division lemma to 1600 and 2924, to get
2924 = 1600 x 1 + 1324
Step 3: We consider the new divisor 1600 and the new remainder 1324, and apply the division lemma to get
1600 = 1324 x 1 + 276
We consider the new divisor 1324 and the new remainder 276,and apply the division lemma to get
1324 = 276 x 4 + 220
We consider the new divisor 276 and the new remainder 220,and apply the division lemma to get
276 = 220 x 1 + 56
We consider the new divisor 220 and the new remainder 56,and apply the division lemma to get
220 = 56 x 3 + 52
We consider the new divisor 56 and the new remainder 52,and apply the division lemma to get
56 = 52 x 1 + 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 2924 and 7448 is 4
Notice that 4 = HCF(52,4) = HCF(56,52) = HCF(220,56) = HCF(276,220) = HCF(1324,276) = HCF(1600,1324) = HCF(2924,1600) = HCF(7448,2924) .
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Frequently Asked Questions on HCF of 2924, 7448 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 2924, 7448?
Answer: HCF of 2924, 7448 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2924, 7448 using Euclid's Algorithm?
Answer: For arbitrary numbers 2924, 7448 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.