Highest Common Factor of 7404, 5320 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 7404, 5320 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 7404, 5320 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 7404, 5320 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 7404, 5320 is 4.
HCF(7404, 5320) = 4
HCF of 7404, 5320 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7404, 5320 is 4.
Highest Common Factor of 7404,5320 is 4
Step 1: Since 7404 > 5320, we apply the division lemma to 7404 and 5320, to get
7404 = 5320 x 1 + 2084
Step 2: Since the reminder 5320 ≠ 0, we apply division lemma to 2084 and 5320, to get
5320 = 2084 x 2 + 1152
Step 3: We consider the new divisor 2084 and the new remainder 1152, and apply the division lemma to get
2084 = 1152 x 1 + 932
We consider the new divisor 1152 and the new remainder 932,and apply the division lemma to get
1152 = 932 x 1 + 220
We consider the new divisor 932 and the new remainder 220,and apply the division lemma to get
932 = 220 x 4 + 52
We consider the new divisor 220 and the new remainder 52,and apply the division lemma to get
220 = 52 x 4 + 12
We consider the new divisor 52 and the new remainder 12,and apply the division lemma to get
52 = 12 x 4 + 4
We consider the new divisor 12 and the new remainder 4,and apply the division lemma to get
12 = 4 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 7404 and 5320 is 4
Notice that 4 = HCF(12,4) = HCF(52,12) = HCF(220,52) = HCF(932,220) = HCF(1152,932) = HCF(2084,1152) = HCF(5320,2084) = HCF(7404,5320) .
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Frequently Asked Questions on HCF of 7404, 5320 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 7404, 5320?
Answer: HCF of 7404, 5320 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7404, 5320 using Euclid's Algorithm?
Answer: For arbitrary numbers 7404, 5320 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.