Highest Common Factor of 7688, 2250 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 7688, 2250 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 7688, 2250 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 7688, 2250 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 7688, 2250 is 2.
HCF(7688, 2250) = 2
HCF of 7688, 2250 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7688, 2250 is 2.
Highest Common Factor of 7688,2250 is 2
Step 1: Since 7688 > 2250, we apply the division lemma to 7688 and 2250, to get
7688 = 2250 x 3 + 938
Step 2: Since the reminder 2250 ≠ 0, we apply division lemma to 938 and 2250, to get
2250 = 938 x 2 + 374
Step 3: We consider the new divisor 938 and the new remainder 374, and apply the division lemma to get
938 = 374 x 2 + 190
We consider the new divisor 374 and the new remainder 190,and apply the division lemma to get
374 = 190 x 1 + 184
We consider the new divisor 190 and the new remainder 184,and apply the division lemma to get
190 = 184 x 1 + 6
We consider the new divisor 184 and the new remainder 6,and apply the division lemma to get
184 = 6 x 30 + 4
We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get
6 = 4 x 1 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 7688 and 2250 is 2
Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(184,6) = HCF(190,184) = HCF(374,190) = HCF(938,374) = HCF(2250,938) = HCF(7688,2250) .
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Frequently Asked Questions on HCF of 7688, 2250 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 7688, 2250?
Answer: HCF of 7688, 2250 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7688, 2250 using Euclid's Algorithm?
Answer: For arbitrary numbers 7688, 2250 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.