Highest Common Factor of 7650, 2128 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 7650, 2128 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 7650, 2128 is 2 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 7650, 2128 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 7650, 2128 is 2.
HCF(7650, 2128) = 2
HCF of 7650, 2128 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7650, 2128 is 2.
Highest Common Factor of 7650,2128 is 2
Step 1: Since 7650 > 2128, we apply the division lemma to 7650 and 2128, to get
7650 = 2128 x 3 + 1266
Step 2: Since the reminder 2128 ≠ 0, we apply division lemma to 1266 and 2128, to get
2128 = 1266 x 1 + 862
Step 3: We consider the new divisor 1266 and the new remainder 862, and apply the division lemma to get
1266 = 862 x 1 + 404
We consider the new divisor 862 and the new remainder 404,and apply the division lemma to get
862 = 404 x 2 + 54
We consider the new divisor 404 and the new remainder 54,and apply the division lemma to get
404 = 54 x 7 + 26
We consider the new divisor 54 and the new remainder 26,and apply the division lemma to get
54 = 26 x 2 + 2
We consider the new divisor 26 and the new remainder 2,and apply the division lemma to get
26 = 2 x 13 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 7650 and 2128 is 2
Notice that 2 = HCF(26,2) = HCF(54,26) = HCF(404,54) = HCF(862,404) = HCF(1266,862) = HCF(2128,1266) = HCF(7650,2128) .
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Frequently Asked Questions on HCF of 7650, 2128 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 7650, 2128?
Answer: HCF of 7650, 2128 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7650, 2128 using Euclid's Algorithm?
Answer: For arbitrary numbers 7650, 2128 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.