Highest Common Factor of 7700, 1796, 70584 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 7700, 1796, 70584 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 7700, 1796, 70584 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 7700, 1796, 70584 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 7700, 1796, 70584 is 4.
HCF(7700, 1796, 70584) = 4
HCF of 7700, 1796, 70584 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7700, 1796, 70584 is 4.
Highest Common Factor of 7700,1796,70584 is 4
Step 1: Since 7700 > 1796, we apply the division lemma to 7700 and 1796, to get
7700 = 1796 x 4 + 516
Step 2: Since the reminder 1796 ≠ 0, we apply division lemma to 516 and 1796, to get
1796 = 516 x 3 + 248
Step 3: We consider the new divisor 516 and the new remainder 248, and apply the division lemma to get
516 = 248 x 2 + 20
We consider the new divisor 248 and the new remainder 20,and apply the division lemma to get
248 = 20 x 12 + 8
We consider the new divisor 20 and the new remainder 8,and apply the division lemma to get
20 = 8 x 2 + 4
We consider the new divisor 8 and the new remainder 4,and apply the division lemma to get
8 = 4 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 7700 and 1796 is 4
Notice that 4 = HCF(8,4) = HCF(20,8) = HCF(248,20) = HCF(516,248) = HCF(1796,516) = HCF(7700,1796) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 70584 > 4, we apply the division lemma to 70584 and 4, to get
70584 = 4 x 17646 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 4 and 70584 is 4
Notice that 4 = HCF(70584,4) .
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Frequently Asked Questions on HCF of 7700, 1796, 70584 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 7700, 1796, 70584?
Answer: HCF of 7700, 1796, 70584 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7700, 1796, 70584 using Euclid's Algorithm?
Answer: For arbitrary numbers 7700, 1796, 70584 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.