Highest Common Factor of 7440, 5392 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 7440, 5392 i.e. 16 the largest integer that leaves a remainder zero for all numbers.
HCF of 7440, 5392 is 16 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 7440, 5392 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 7440, 5392 is 16.
HCF(7440, 5392) = 16
HCF of 7440, 5392 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7440, 5392 is 16.
Highest Common Factor of 7440,5392 is 16
Step 1: Since 7440 > 5392, we apply the division lemma to 7440 and 5392, to get
7440 = 5392 x 1 + 2048
Step 2: Since the reminder 5392 ≠ 0, we apply division lemma to 2048 and 5392, to get
5392 = 2048 x 2 + 1296
Step 3: We consider the new divisor 2048 and the new remainder 1296, and apply the division lemma to get
2048 = 1296 x 1 + 752
We consider the new divisor 1296 and the new remainder 752,and apply the division lemma to get
1296 = 752 x 1 + 544
We consider the new divisor 752 and the new remainder 544,and apply the division lemma to get
752 = 544 x 1 + 208
We consider the new divisor 544 and the new remainder 208,and apply the division lemma to get
544 = 208 x 2 + 128
We consider the new divisor 208 and the new remainder 128,and apply the division lemma to get
208 = 128 x 1 + 80
We consider the new divisor 128 and the new remainder 80,and apply the division lemma to get
128 = 80 x 1 + 48
We consider the new divisor 80 and the new remainder 48,and apply the division lemma to get
80 = 48 x 1 + 32
We consider the new divisor 48 and the new remainder 32,and apply the division lemma to get
48 = 32 x 1 + 16
We consider the new divisor 32 and the new remainder 16,and apply the division lemma to get
32 = 16 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 16, the HCF of 7440 and 5392 is 16
Notice that 16 = HCF(32,16) = HCF(48,32) = HCF(80,48) = HCF(128,80) = HCF(208,128) = HCF(544,208) = HCF(752,544) = HCF(1296,752) = HCF(2048,1296) = HCF(5392,2048) = HCF(7440,5392) .
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Frequently Asked Questions on HCF of 7440, 5392 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 7440, 5392?
Answer: HCF of 7440, 5392 is 16 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7440, 5392 using Euclid's Algorithm?
Answer: For arbitrary numbers 7440, 5392 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
