Highest Common Factor of 7792, 3528 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 7792, 3528 i.e. 8 the largest integer that leaves a remainder zero for all numbers.
HCF of 7792, 3528 is 8 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 7792, 3528 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 7792, 3528 is 8.
HCF(7792, 3528) = 8
HCF of 7792, 3528 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7792, 3528 is 8.
Highest Common Factor of 7792,3528 is 8
Step 1: Since 7792 > 3528, we apply the division lemma to 7792 and 3528, to get
7792 = 3528 x 2 + 736
Step 2: Since the reminder 3528 ≠ 0, we apply division lemma to 736 and 3528, to get
3528 = 736 x 4 + 584
Step 3: We consider the new divisor 736 and the new remainder 584, and apply the division lemma to get
736 = 584 x 1 + 152
We consider the new divisor 584 and the new remainder 152,and apply the division lemma to get
584 = 152 x 3 + 128
We consider the new divisor 152 and the new remainder 128,and apply the division lemma to get
152 = 128 x 1 + 24
We consider the new divisor 128 and the new remainder 24,and apply the division lemma to get
128 = 24 x 5 + 8
We consider the new divisor 24 and the new remainder 8,and apply the division lemma to get
24 = 8 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 8, the HCF of 7792 and 3528 is 8
Notice that 8 = HCF(24,8) = HCF(128,24) = HCF(152,128) = HCF(584,152) = HCF(736,584) = HCF(3528,736) = HCF(7792,3528) .
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Frequently Asked Questions on HCF of 7792, 3528 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 7792, 3528?
Answer: HCF of 7792, 3528 is 8 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7792, 3528 using Euclid's Algorithm?
Answer: For arbitrary numbers 7792, 3528 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.