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 6776, 9324 i.e. 28 the largest integer that leaves a remainder zero for all numbers.
HCF of 6776, 9324 is 28 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 6776, 9324 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 6776, 9324 is 28.
HCF(6776, 9324) = 28
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6776, 9324 is 28.
Step 1: Since 9324 > 6776, we apply the division lemma to 9324 and 6776, to get
9324 = 6776 x 1 + 2548
Step 2: Since the reminder 6776 ≠ 0, we apply division lemma to 2548 and 6776, to get
6776 = 2548 x 2 + 1680
Step 3: We consider the new divisor 2548 and the new remainder 1680, and apply the division lemma to get
2548 = 1680 x 1 + 868
We consider the new divisor 1680 and the new remainder 868,and apply the division lemma to get
1680 = 868 x 1 + 812
We consider the new divisor 868 and the new remainder 812,and apply the division lemma to get
868 = 812 x 1 + 56
We consider the new divisor 812 and the new remainder 56,and apply the division lemma to get
812 = 56 x 14 + 28
We consider the new divisor 56 and the new remainder 28,and apply the division lemma to get
56 = 28 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 28, the HCF of 6776 and 9324 is 28
Notice that 28 = HCF(56,28) = HCF(812,56) = HCF(868,812) = HCF(1680,868) = HCF(2548,1680) = HCF(6776,2548) = HCF(9324,6776) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 6776, 9324?
Answer: HCF of 6776, 9324 is 28 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6776, 9324 using Euclid's Algorithm?
Answer: For arbitrary numbers 6776, 9324 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.