Highest Common Factor of 760, 7788 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 760, 7788 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 760, 7788 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 760, 7788 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 760, 7788 is 4.
HCF(760, 7788) = 4
HCF of 760, 7788 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 760, 7788 is 4.
Highest Common Factor of 760,7788 is 4
Step 1: Since 7788 > 760, we apply the division lemma to 7788 and 760, to get
7788 = 760 x 10 + 188
Step 2: Since the reminder 760 ≠ 0, we apply division lemma to 188 and 760, to get
760 = 188 x 4 + 8
Step 3: We consider the new divisor 188 and the new remainder 8, and apply the division lemma to get
188 = 8 x 23 + 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 760 and 7788 is 4
Notice that 4 = HCF(8,4) = HCF(188,8) = HCF(760,188) = HCF(7788,760) .
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Frequently Asked Questions on HCF of 760, 7788 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 760, 7788?
Answer: HCF of 760, 7788 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 760, 7788 using Euclid's Algorithm?
Answer: For arbitrary numbers 760, 7788 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.